{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "g7nGs4mzVUHP"
      },
      "source": [
        "# Experimental: TF AutoGraph\n",
        "**TensorFlow Dev Summit, 2018.**\n",
        "\n",
        "This interactive notebook demonstrates **AutoGraph**, an experimental source-code transformation library to automatically convert Python, TensorFlow and NumPy code to TensorFlow graphs.\n",
        "\n",
        "**Note: this is pre-alpha software!** The notebook works best with Python 2, for now.\n",
        "\n",
        "\u003e ![alt text](https://lh3.googleusercontent.com/QOvy0clmg7siaVKzwmSPAjicWWNQ0OeyaB16plDjSJMf35WD3vLjF6mz4CGrhSHw60HnlZPJjkyDCBzw5XOI0oBGSewyYw=s688)\n",
        "\n",
        "### Table of Contents\n",
        "1. _Write Eager code that is fast and scalable._\n",
        "2. _Case study: complex control flow._\n",
        "3. _Case study: training MNIST with Keras._\n",
        "4. _Case study: building an RNN._"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "uFcgBENZqkB2"
      },
      "outputs": [],
      "source": [
        "# Install TensorFlow; note that Colab notebooks run remotely, on virtual\n",
        "# instances provided by Google.\n",
        "!pip install -U -q tf-nightly"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "Pa2qpEmoVOGe"
      },
      "outputs": [],
      "source": [
        "import os\n",
        "import time\n",
        "\n",
        "import tensorflow as tf\n",
        "from tensorflow.contrib import autograph\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import six\n",
        "\n",
        "from google.colab import widgets"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "ZVKfj5ttVkqz"
      },
      "source": [
        "# 1. Write Eager code that is fast and scalable\n",
        "\n",
        "TF.Eager gives you more flexibility while coding, but at the cost of losing the benefits of TensorFlow graphs. For example, Eager does not currently support distributed training, exporting models, and a variety of memory and computation optimizations.\n",
        "\n",
        "AutoGraph gives you the best of both worlds: you can write your code in an Eager style, and we will automatically transform it into the equivalent TF graph code. The graph code can be executed eagerly (as a single op), included as part of a larger graph, or exported."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "snaZRFdWd9ym"
      },
      "source": [
        "For example, AutoGraph can convert a function like this:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "9__n8cSIeDnD"
      },
      "outputs": [],
      "source": [
        "def g(x):\n",
        "  if x \u003e 0:\n",
        "    x = x * x\n",
        "  else:\n",
        "    x = 0\n",
        "  return x"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "gq0eQcuReHET"
      },
      "source": [
        "... into a TF graph-building function:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          },
          "height": 431
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 69,
          "status": "ok",
          "timestamp": 1531750911837,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 240
        },
        "id": "sELSn599ePUF",
        "outputId": "2858bde5-ae05-4c32-be01-7770ac914f02"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "from __future__ import print_function\n",
            "import tensorflow as tf\n",
            "\n",
            "def tf__g(x):\n",
            "  try:\n",
            "    with tf.name_scope('g'):\n",
            "\n",
            "      def if_true():\n",
            "        with tf.name_scope('if_true'):\n",
            "          x_1, = x,\n",
            "          x_1 = x_1 * x_1\n",
            "          return x_1,\n",
            "\n",
            "      def if_false():\n",
            "        with tf.name_scope('if_false'):\n",
            "          x_2, = x,\n",
            "          x_2 = 0\n",
            "          return x_2,\n",
            "      x = ag__.utils.run_cond(tf.greater(x, 0), if_true, if_false)\n",
            "      return x\n",
            "  except:\n",
            "    ag__.rewrite_graph_construction_error(ag_source_map__)\n",
            "\n"
          ]
        }
      ],
      "source": [
        "print(autograph.to_code(g))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "j74n-8hEe6dk"
      },
      "source": [
        "You can then use the converted function as you would any regular TF op -- you can pass `Tensor` arguments and it will return `Tensor`s:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          },
          "height": 53
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 83,
          "status": "ok",
          "timestamp": 1531750911965,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 240
        },
        "id": "AkVaY0-dfEbH",
        "outputId": "f04541ad-b1d3-4663-bf27-4d902648283d"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "g(9) = 81\n",
            "tf_g(9) = 81\n"
          ]
        }
      ],
      "source": [
        "tf_g = autograph.to_graph(g)\n",
        "\n",
        "with tf.Graph().as_default():  \n",
        "\n",
        "  g_ops = tf_g(tf.constant(9))\n",
        "\n",
        "  with tf.Session() as sess:\n",
        "    tf_g_result = sess.run(g_ops)\n",
        "\n",
        "  print('g(9) = %s' % g(9))\n",
        "  print('tf_g(9) = %s' % tf_g_result)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "trrHQBM1VnD0"
      },
      "source": [
        "# 2. Case study: complex control flow\n",
        "\n",
        "Autograph can convert a large subset of the Python language into graph-equivalent code, and we're adding new supported language features all the time. In this section, we'll give you a taste of some of the functionality in AutoGraph.\n",
        "AutoGraph will automatically convert most Python control flow statements into their graph equivalent.\n",
        "  "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "u0YG3DPgZxoW"
      },
      "source": [
        "We support common statements like `while`, `for`, `if`, `break`, `return` and more. You can even nest them as much as you like. Imagine trying to write the graph version of this code by hand:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          },
          "height": 35
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 169,
          "status": "ok",
          "timestamp": 1531750912183,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 240
        },
        "id": "xJYDzOcrZ8pI",
        "outputId": "f392b475-bf87-4d90-919d-44f895ee9fc7"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Sum of even numbers: 42\n"
          ]
        }
      ],
      "source": [
        "def sum_even(numbers):\n",
        "  s = 0\n",
        "  for n in numbers:\n",
        "    if n % 2 \u003e 0:\n",
        "      continue\n",
        "    s += n\n",
        "  return s\n",
        "\n",
        "\n",
        "tf_sum_even = autograph.to_graph(sum_even)\n",
        "\n",
        "with tf.Graph().as_default():  \n",
        "  with tf.Session() as sess:\n",
        "    result = sess.run(tf_sum_even(tf.constant([10, 12, 15, 20])))\n",
        "\n",
        "  print('Sum of even numbers: %s' % result)\n",
        "  \n",
        "# Uncomment the line below to print the generated graph code\n",
        "# print(autograph.to_code(sum_even))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "_YXo4KOcbKrn"
      },
      "source": [
        "Try replacing the `continue` in the above code with `break` -- Autograph supports that as well!"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "xHmC0rBIavW_"
      },
      "source": [
        "The Python code above is much more readable than the matching graph code. Autograph takes care of tediously converting every piece of Python code into the matching TensorFlow graph version for you, so that you can quickly write maintainable code, but still benefit from the optimizations and deployment benefits of graphs."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "UEHWGpBXbS7g"
      },
      "source": [
        "Let's try some other useful Python constructs, like `print` and `assert`. We automatically convert Python `assert` statements into the equivalent `tf.Assert` code.  "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          },
          "height": 53
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 56,
          "status": "ok",
          "timestamp": 1531750912292,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 240
        },
        "id": "qUU57xlEbauI",
        "outputId": "c9cd536a-4a95-4eb0-98c0-aafce5d79580"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Got error message: assertion failed: [Do not pass zero!]\n",
            "\t [[{{node f/Assert/Assert}} = Assert[T=[DT_STRING], summarize=3, _device=\"/job:localhost/replica:0/task:0/device:CPU:0\"](f/NotEqual, f/Assert/Assert/data_0)]]\n"
          ]
        }
      ],
      "source": [
        "def f(x):\n",
        "  assert x != 0, 'Do not pass zero!'\n",
        "  return x * x\n",
        "\n",
        "tf_f = autograph.to_graph(f)\n",
        "with tf.Graph().as_default():  \n",
        "  with tf.Session() as sess:\n",
        "    try:\n",
        "      print(sess.run(tf_f(tf.constant(0))))\n",
        "    except tf.errors.InvalidArgumentError as e:\n",
        "      print('Got error message: %s' % e.message)\n",
        "      \n",
        "# Uncomment the line below to print the generated graph code\n",
        "# print(autograph.to_code(f))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "w5hBZaVJbck4"
      },
      "source": [
        "You can also use `print` functions in-graph:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "6NdzRKLEboRv"
      },
      "outputs": [],
      "source": [
        "def print_sign(n):\n",
        "  if n \u003e= 0:\n",
        "    print(n, 'is positive!')\n",
        "  else:\n",
        "    print(n, 'is negative!')\n",
        "  return n\n",
        "\n",
        "\n",
        "tf_print_sign = autograph.to_graph(print_sign)\n",
        "with tf.Graph().as_default():\n",
        "  with tf.Session() as sess:\n",
        "    sess.run(tf_print_sign(tf.constant(1)))\n",
        "    \n",
        "# Uncomment the line below to print the generated graph code\n",
        "# print(autograph.to_code(print_sign))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "9u_Z3i3AivLA"
      },
      "source": [
        "Appending to lists also works, with a few modifications:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          },
          "height": 35
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 148,
          "status": "ok",
          "timestamp": 1531750912595,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 240
        },
        "id": "MjhCQJVuiTNR",
        "outputId": "96bf9131-c7c1-4359-ee82-9c38575e7ab4"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[0 1 2 3 4]\n"
          ]
        }
      ],
      "source": [
        "def f(n):\n",
        "  numbers = []\n",
        "  # We ask you to tell us about the element dtype.\n",
        "  autograph.set_element_type(numbers, tf.int32)\n",
        "  for i in range(n):\n",
        "    numbers.append(i)\n",
        "  return autograph.stack(numbers) # Stack the list so that it can be used as a Tensor\n",
        "\n",
        "\n",
        "tf_f = autograph.to_graph(f)\n",
        "with tf.Graph().as_default():\n",
        "  with tf.Session() as sess:\n",
        "    print(sess.run(tf_f(tf.constant(5))))\n",
        "    \n",
        "# Uncomment the line below to print the generated graph code\n",
        "# print(autograph.to_code(f))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "UdG8ZFrkTAF2"
      },
      "source": [
        "And all of these functionalities, and more, can be composed into more complicated code:\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "cellView": "code",
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          },
          "height": 53
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 555,
          "status": "ok",
          "timestamp": 1531750913176,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 240
        },
        "id": "DVs6wt8NKaGQ",
        "outputId": "8729229c-4f08-4640-d3a1-0d3f9c697a87"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "The prime numbers less than 50 are:\n",
            "[ 2  3  5  7 11 13 17 19 23 29 31 37 41 43 47]\n"
          ]
        }
      ],
      "source": [
        "def print_primes(n):\n",
        "  \"\"\"Returns all the prime numbers less than n.\"\"\"\n",
        "  assert n \u003e 0\n",
        "  \n",
        "  primes = []\n",
        "  autograph.set_element_type(primes, tf.int32)\n",
        "  for i in range(2, n):\n",
        "    is_prime = True\n",
        "    for k in range(2, i):\n",
        "      if i % k == 0:\n",
        "        is_prime = False\n",
        "        break\n",
        "    if not is_prime:\n",
        "      continue\n",
        "    primes.append(i)\n",
        "  all_primes = autograph.stack(primes)\n",
        "\n",
        "  print('The prime numbers less than', n, 'are:')\n",
        "  print(all_primes)\n",
        "  return tf.no_op()\n",
        "\n",
        "    \n",
        "tf_print_primes = autograph.to_graph(print_primes)\n",
        "with tf.Graph().as_default():  \n",
        "  with tf.Session() as sess:\n",
        "    n = tf.constant(50)\n",
        "    sess.run(tf_print_primes(n))\n",
        "    \n",
        "# Uncomment the line below to print the generated graph code\n",
        "# print(autograph.to_code(print_primes))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "JQ8kQT99VqDk"
      },
      "source": [
        "# 3. Case study: training MNIST with Keras\n",
        "\n",
        "As we've seen, writing control flow in AutoGraph is easy. So running a training loop in graph should be easy as well!\n",
        "\n",
        "Here, we show an example of such a training loop for a simple Keras model that trains on MNIST."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "0CrtGWgwuLJr"
      },
      "outputs": [],
      "source": [
        "import gzip\n",
        "import shutil\n",
        "\n",
        "from six.moves import urllib\n",
        "\n",
        "\n",
        "def download(directory, filename):\n",
        "  filepath = os.path.join(directory, filename)\n",
        "  if tf.gfile.Exists(filepath):\n",
        "    return filepath\n",
        "  if not tf.gfile.Exists(directory):\n",
        "    tf.gfile.MakeDirs(directory)\n",
        "  url = 'https://storage.googleapis.com/cvdf-datasets/mnist/' + filename + '.gz'\n",
        "  zipped_filepath = filepath + '.gz'\n",
        "  print('Downloading %s to %s' % (url, zipped_filepath))\n",
        "  urllib.request.urlretrieve(url, zipped_filepath)\n",
        "  with gzip.open(zipped_filepath, 'rb') as f_in, open(filepath, 'wb') as f_out:\n",
        "    shutil.copyfileobj(f_in, f_out)\n",
        "  os.remove(zipped_filepath)\n",
        "  return filepath\n",
        "\n",
        "\n",
        "def dataset(directory, images_file, labels_file):\n",
        "  images_file = download(directory, images_file)\n",
        "  labels_file = download(directory, labels_file)\n",
        "\n",
        "  def decode_image(image):\n",
        "    # Normalize from [0, 255] to [0.0, 1.0]\n",
        "    image = tf.decode_raw(image, tf.uint8)\n",
        "    image = tf.cast(image, tf.float32)\n",
        "    image = tf.reshape(image, [784])\n",
        "    return image / 255.0\n",
        "\n",
        "  def decode_label(label):\n",
        "    label = tf.decode_raw(label, tf.uint8)\n",
        "    label = tf.reshape(label, [])\n",
        "    return tf.to_int32(label)\n",
        "\n",
        "  images = tf.data.FixedLengthRecordDataset(\n",
        "      images_file, 28 * 28, header_bytes=16).map(decode_image)\n",
        "  labels = tf.data.FixedLengthRecordDataset(\n",
        "      labels_file, 1, header_bytes=8).map(decode_label)\n",
        "  return tf.data.Dataset.zip((images, labels))\n",
        "\n",
        "\n",
        "def mnist_train(directory):\n",
        "  return dataset(directory, 'train-images-idx3-ubyte',\n",
        "                 'train-labels-idx1-ubyte')\n",
        "\n",
        "def mnist_test(directory):\n",
        "  return dataset(directory, 't10k-images-idx3-ubyte', 't10k-labels-idx1-ubyte')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "2zu1U9Nqir6L"
      },
      "source": [
        "First, we'll define a small three-layer neural network using the Keras API"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "x_MU13boiok2"
      },
      "outputs": [],
      "source": [
        "def mlp_model(input_shape):\n",
        "  model = tf.keras.Sequential((\n",
        "      tf.keras.layers.Dense(100, activation='relu', input_shape=input_shape),\n",
        "      tf.keras.layers.Dense(100, activation='relu'),\n",
        "      tf.keras.layers.Dense(10, activation='softmax'),\n",
        "  ))\n",
        "  model.build()\n",
        "  return model"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "Wuqg3H8mi0Xj"
      },
      "source": [
        "Let's connect the model definition (here abbreviated as `m`) to a loss function, so that we can train our model."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "W51sfbONiz_5"
      },
      "outputs": [],
      "source": [
        "def predict(m, x, y):\n",
        "  y_p = m(x)\n",
        "  losses = tf.keras.losses.categorical_crossentropy(y, y_p)\n",
        "  l = tf.reduce_mean(losses)\n",
        "  accuracies = tf.keras.metrics.categorical_accuracy(y, y_p)\n",
        "  accuracy = tf.reduce_mean(accuracies)\n",
        "  return l, accuracy"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "035tNWQki9tr"
      },
      "source": [
        "Now the final piece of the problem specification (before loading data, and clicking everything together) is backpropagating the loss through the model, and optimizing the weights using the gradient."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "CsAD0ajbi9iZ"
      },
      "outputs": [],
      "source": [
        "def fit(m, x, y, opt):\n",
        "  l, accuracy = predict(m, x, y)\n",
        "  opt.minimize(l)\n",
        "  return l, accuracy"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "PcVRIacKjSwb"
      },
      "source": [
        "These are some utility functions to download data and generate batches for training"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "RVw57HdTjPzi"
      },
      "outputs": [],
      "source": [
        "def setup_mnist_data(is_training, hp, batch_size):\n",
        "  if is_training:\n",
        "    ds = mnist_train('/tmp/autograph_mnist_data')\n",
        "    ds = ds.shuffle(batch_size * 10)\n",
        "  else:\n",
        "    ds = mnist_test('/tmp/autograph_mnist_data')\n",
        "  ds = ds.repeat()\n",
        "  ds = ds.batch(batch_size)\n",
        "  return ds\n",
        "\n",
        "def get_next_batch(ds):\n",
        "  itr = ds.make_one_shot_iterator()\n",
        "  image, label = itr.get_next()\n",
        "  x = tf.to_float(tf.reshape(image, (-1, 28 * 28)))\n",
        "  y = tf.one_hot(tf.squeeze(label), 10)\n",
        "  return x, y"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "2zEJH5XNjgFz"
      },
      "source": [
        "This function specifies the main training loop. We instantiate the model (using the code above), instantiate an optimizer (here we'll use SGD with momentum, nothing too fancy), and we'll instantiate some lists to keep track of training and test loss and accuracy over time.\n",
        "\n",
        "In the loop inside this function, we'll grab a batch of data, apply an update to the weights of our model to improve its performance, and then record its current training loss and accuracy. Every so often, we'll log some information about training as well."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "UUI0566FjZPx"
      },
      "outputs": [],
      "source": [
        "def train(train_ds, test_ds, hp):\n",
        "  m = mlp_model((28 * 28,))\n",
        "  opt = tf.train.MomentumOptimizer(hp.learning_rate, 0.9)\n",
        "\n",
        "  train_losses = []\n",
        "  autograph.set_element_type(train_losses, tf.float32)\n",
        "  test_losses = []\n",
        "  autograph.set_element_type(test_losses, tf.float32)\n",
        "  train_accuracies = []\n",
        "  autograph.set_element_type(train_accuracies, tf.float32)\n",
        "  test_accuracies = []\n",
        "  autograph.set_element_type(test_accuracies, tf.float32)\n",
        "\n",
        "  i = 0\n",
        "  while i \u003c hp.max_steps:\n",
        "    train_x, train_y = get_next_batch(train_ds)\n",
        "    test_x, test_y = get_next_batch(test_ds)\n",
        "    step_train_loss, step_train_accuracy = fit(m, train_x, train_y, opt)\n",
        "    step_test_loss, step_test_accuracy = predict(m, test_x, test_y)\n",
        "    if i % (hp.max_steps // 10) == 0:\n",
        "      print('Step', i, 'train loss:', step_train_loss, 'test loss:',\n",
        "            step_test_loss, 'train accuracy:', step_train_accuracy,\n",
        "            'test accuracy:', step_test_accuracy)\n",
        "    train_losses.append(step_train_loss)\n",
        "    test_losses.append(step_test_loss)\n",
        "    train_accuracies.append(step_train_accuracy)\n",
        "    test_accuracies.append(step_test_accuracy)\n",
        "    i += 1\n",
        "  return (autograph.stack(train_losses), autograph.stack(test_losses),\n",
        "          autograph.stack(train_accuracies),\n",
        "          autograph.stack(test_accuracies))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "cYiUQ1ppkHzk"
      },
      "source": [
        "Everything is ready to go, let's train the model and plot its performance!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          },
          "height": 585
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 17094,
          "status": "ok",
          "timestamp": 1531750930585,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 240
        },
        "id": "K1m8TwOKjdNd",
        "outputId": "9f63da19-c3bf-498b-cf00-29090bf3b4f0"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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fICcIgjiRSalgTJ48GbNnz467ffny5Th8+DAWL16MJ598Eo899lhSry9wIjhB\nwaqtJRC6lsB5xjqE5UjUPpxoWRUkGARBEPFJqWAMGzYM2dnZcbcvWbIEEydOBAAMGTIEDQ0NqKys\nTNr1Rc4B8Aq+WXcYzoFbIORUY1/DXgDAtxuO4I7nlwG8AjXsBgAE5I5dgZcgCKI9adcYRnl5OXr2\n7Gm+z8/PR1lZWdLO7+Qd4HgVgFXGpCpUDQD4+Lu9iMgqwMuA5AIYcNRXgtpwXdKuTxAEkU60q2DE\nqkeVzJIjDl5bdc8epygLldgupoLjGZgigmMOVIdq8OdVf03a9QmCINKJhIsPpoL8/HyUlpaa70tL\nS9GjR4+Ejs3Ly2pxnwyXG5AAzmW5mioj5fDk8HCduR5SST/tQ0UAVN6Uz0TO3ZHobO1NJfQsLOhZ\nWNCzSA4pF4zmqtqOHj0a//znP/Hzn/8cBQUFyM7ORvfu3RM6b0VFQ4v78EzQ/s+w9q0JV2PJzjXg\ns6vgyq7S2qiKYLyVbpvIuTsKeXlZnaq9qYSehQU9Cwt6FhZtFc6UCsb999+PtWvXora2Fpdffjnu\nvvtuSJIEjuNwww03YNSoUVi+fDmuvvpqeDwePPvss0m9vkvQFlHiXFYBQgaGf+76PHpHRQD42HWk\n/FIAHtENnkvrKSsEQRAtklLBeOGFF1rc59FHH03Z9Z2GYDi1dFk1kBVlbRgwVYh5fGWwGk+u+Qem\nnD4el/UZEXMfgiCIE4W0Hja7BC3obcQwlOr82DvGEYxSfxkUpqDEX56S9hEEQXQm0lswRK0EO+fU\nBaO2B/p5Tmu6oyqALxze5OMGyQ8ACMvNV7wlCII4EUhrwXCLRgxDn8EtO9DV0TQLi6k8uIYe6J99\nSlSswhfRlncNKyQYbUVVGRSV1hshiM5MmguGbmHoAW0mO83MqShUHqrKIPA8VKaamV0+3cIIkWC0\nmfvfWIXpr6xs72YQBNEG2nUeRqrxOJzWG1XQXE9cDMFgAhTGIOjbVKZC4ARTMMjCaDt1/kjLOxEE\n0aFJawvD47CWkeUUTTyatTB0wTDWxfBFdAsjRgxj/9E6vDF3G8IRWkODIIgTg7QWjAyn23zNq5p4\n8FxTo4rZXFKATTBMC6Pp6PivH27Ext0VWLmtpMk2giCIdCStBcMreszXAtMD4LEsDMZDsVkYsmpY\nGC0HvRWFArkEQZwYpLVguEXLwjAEg48VtlG1x8A3dklJ2gzx5oLe8QufEARBpBdpLRgem2A4OD2e\nwZresjHDQ/F7AAAgAElEQVTTW9HDEXuO1EBSZYQULR1XVmUoKsUqCII4sTlhBEPUBSNm0FsXkcMl\nWsziixV74dfjFwaUKUUQxIlOWguGyFvuJ5cuGDFjGLpLqs6nVazNyXKgIRItGDQXgyCIE520Fgw7\nTkGzNjjEF4yIpEUkvB6hiYURK7WWIAjiROKEEQw3r1sYMQoNMt3qYLpwhCXZzJDyihkArBTbpscm\nvakEQRAdkhNGMFy6haEqMZaA1YUCTNsWliWz8ODJ2X0BANWhmqhDhG7FcA9bBL+anmuAl9UEUOtL\nvlXV3IJaBEF0bE4YwRD1dNqv1xxtutEUDO3/kCybFsXJWbEFw3HqVnA8Q6G0LUUtbl8efnsN7nt9\nVdLPS3pBEJ2XE0YwOF63LNQYt8yiLYyILCMoaym1fTJ7AQCqQ7XRh4S1SYFBRks/tgaVFIMgOi1p\nLxhy2ckAgGxeXys8xjwMQBcTm2AoqgwA6JGhHdfYwjAEI8Dqk9zi9IZcUgTReUl7wegdvgjBddeg\nb9cu+icxYhgGuphEFBmyPtvbI7qR5chsIhjGefxqHVRG5UGawy4SKukFQXRa0rq8OQA89KsLUFUf\nQqhRVVnGAK6RdjDdwpAUGbKqvRZ5EV3dXXDUVwyVqeYCS5ygWSAyIjjqK8VJWb1TfCfHj2RbAXY3\nlEqKQRCdlrS3MFxOAb27e8Hb7jS48UqENl7VdGfdwuA4hoisTeITOAFO5oXMFDToqbbaBtl8uat6\nT0ra3l4kO85gPx25pAii85L2gmHA280JxQmoMYwr3cIApyKiaIIg8gJ27NUC4Ha3FCfIYLIIDjzW\nlW5Kq44w2Sup2q2KjmxgbNxdgcNllMRAEPE4cQSDbyZ2YWAExDkGSRcMgRPBIlqA2xAMSVYAQQYL\nZyCf749ifymK/aUpaXd7kGy3kV1LO2qWlKyoeGPuNjz+3vr2bgpBdFjSPoZhIMQQjOCmK6PTbG0W\nRlh3SfEcb2ZEVYdqMe+HA/jvqoPwXKRAVQR4oQXTG5cS6cwku1O3n491UBND6aDtIoiOxIljYTSO\ncAOAHO2aMkqDgGOIyDI4cJAkBiZpa2k0RHz476pCK36hiDAeoWwrf76zeg8KKran4jaOC8mPYXR8\nl1Q6uRQJIlWcOIIRw8JwORvVlTItDIaIIkHkRS27Sq8/JTNNKIwMKaaI4Fj0sq4A8HrB/2HWtjnJ\nvoXjht0llYyOVO0EQe9kx20IIh05cQQjhoXhaSIYepYUr0JSZIi8gFBENoVE1ifzRVkYrKmFYWDM\nFu9s2AUjGa6aqLTajioYHbRdBNGROHEEI4aF4XE1CuHYLAxZVSBwAgJh2YxzGIFwu4VxqFSLXZhi\nYqM23DkLE9o1QlHa3pGyTpAlRfNDCKJlTmjBcDtjC4bgrYfMFPgDCv46ZyMYixYMiFpAHLIT/oBm\nWRgzw+2zvjutYERZGG331US5pFrRMW/YVY7f/W0pSqpSn1BAFgZBtMyJIxgxYt4ZrmiXlOrPQaYj\nE3yXMiiiD4oSXbAwohoWhiYYTHaYLimj9lRYiZjn++7QcqhMBWMMSzcVobQ6kNR7ShX2zlNOhoVx\njC6pd7/aCcaAZZuL29yGlkimhaGoKpZtPor6QKTlnQmiE3HCCEastFp3Y5eUKmJkrwut92YV29gW\nBlMcZmaVYWGEbHGLXTV7sbN6Dw6U1OOjxXvwl1lrk3ErKSdeDONQaQO+WL6/1aNxtY1ZUrES3Foi\nLDWNKTVHMgXjhy0lmLNoN96c23kz5QgiFieMYHAxg95Np6FkOb3WG0MwDFFQNaHgTJeUPehtWBjR\niw4V+0oRCGnbVCh4o2A2NpVvPfYbOQ7YO3hFsVxSywuOYuHqQyipap2ldKwuqWPtwn/YWow7X1iO\nzXsrEj4mmS6pitogAOBAMVUyJtKLE0YwYloYjbOkAHgcGdYb1TiGB2OApGdCGYLBZKdtlT5NFEK6\nYAicdu4Sf5lZH5f31mFH9W7M3v5RW28npcSzMCKyJh6hSNMAf3Mcq0vqWBXj2/VFAICVW0sSPiap\nMW/zp0ZxESK9OGEEI1bQWxCafpYheszXzL52hsrb0mptMQzd+vAFNVdUSNYEY8wpV0DkRZT4y6zl\nNljT69U0hBFppfsk1dhFQra/1q2NcOTY3T0dNbaczJnenP6F2+91b1EtZi/cYT7D9mDVthJ8vmx/\nu12f6Pyc0ILBxVgbwy4YUYstMR6SEfQ2XFK2eRiBiPaZYWFkODzIEbvgaH05Xvz3Fu043upoGWOo\nrg/h/jdW4c15HcvXbe/o7C4pST42wYhXSyoQkrBxd0XcyXxMH6G3NobBmQLdijYmUzBiXP/ZjzZh\n1bZSbNlXlbTrtJbZC3fiqzWH2u36RGIEQhLmfLML5bprsyNx4ghGgr1OhsMuGBxGnN0TYy48CVB5\nax6GKIGpHKAKtpRbXTD0oLdbcKG8SoLMJJiuCcHqaINyEAdLtMqoW/e3XycSi6gYRpSFob1ubUA5\nnkvqrXnb8cbcbVi/qxwAsPtwDZ58fz3qfNFxoFjC3hzHECNPWgxj/9E6LFwdv1OWlPa3JimFuGPz\n5epDWFZQjDf/s629m9KElAvGihUrcO211+Kaa67BO++802T73LlzMWLECEyaNAmTJk3C559/nuom\nIcMl4vSTcmP2LN6oGAaPrAwHHCIPxmwuKVECZAcAzoxzGGJiWBhu0Q2oAjieAZw+UrZZGIX1R9Bg\nS7sMyiGsOroWSowZ45v2lmHBmn1tueVWERXDUJq6pEKtzUCKCnpbr38q1Kr/Fldq8yx2FNagsLTB\nFNLGIYBV20pQVpOa1ORkdaJ//XCj+Zp10BgGTVLs2BhJMnX+jpeWndJqtaqq4qmnnsL777+PHj16\n4Be/+AVGjx6NAQMGRO133XXX4S9/+UsqmxLFq3+4DDzH4bPvm3bCjV1STgevWSeqzSXFK2BG0ULT\nwtA60bAew3AJLr04IbRSIrIzatGlN7bMxmnCRQC6AgDm7luIVcVrURWqwfgB10a16Z0d70LIqsGo\nwFPIznA1afPhsgYcrfBjxDk9W/8wYqDEmbgnHWMMI56FwXGa28b4LCJr5/WHpOgTcEBRhQ+zF+4E\nALz70JXNX9B0CSXeMaakWm2sU3aAvlpRGMSm+R5EB8HwnneAn0oTUmphbN26Faeccgr69OkDh8OB\n6667DkuWLGmy3/EuSGe6p2JYGA7eYb5mjIfLIUAUeIDxCMu64vNWQUJTMHQx8ellzr0OD5i+j2lZ\n6P93dWsl0asjWtqnxyWgMqi5pbZX7WzSJiFLG4nvKyuLeT+Pv7ces77c0bSjPUZYnIl78jHGMKLK\nm9teG9+DoUkRSXvhD+pJBbZzGKOu+NdQ8fyqt7GudJMVdNa3lQcq8fKmmagKNl6X3SIVy7J3UL1I\nyuz9YyEQknCwhFKNW4QzkiY6wq8lmpQKRllZGXr16mW+z8/PR3l5eZP9Fi9ejAkTJuCee+5BaWnq\nFiK6dvjJ+OVVp8XdfuGZPaLna6gcnKIuGCoPcCq6ZLnA8aqZHWVO3NNdSUY5kFxXDqDooqILhSEc\nkwZeBwAI6gKU5XGaIlIeqIzbvgOVzT8bo8NtK/FKg5hZUq2OYcQ+t5GIYFoY+nl9IQm+oCV+HGIn\nLdgpD1RgXVEBPtjxSZNtH+38DHtrD+CLvf+Ne/xx8+u34jLBsIxguPUpzC11NO219seTH2zAUx9s\nMOepELExfukdUC9S65JKRCGvvPJKjB07Fg6HA5988gkefPBBfPDBBy0el5eX1er2/P7686Pee3X3\njihw+Ntdl6Ffr2w4HQLcQgZCiuYr79Y1AxFJBSvlwfEq8rt5cIhXwQwxMFJleRV5eVnwq35wHIeT\n8/NNC8N0RelB7755eQAAf1hzXzkcAjiH9qwkVcL+0F5c1Oc88Hy0nleEapq97+wcD/K6eWNuKyyp\nxyNv/4iHfn0hzj61W7PPqaja+oP2ZrrNaxrfJifwLT7/3YeqwXEcTj+5C6oCVuefneMxjxV4DhIA\nt9uhfSZo9/vlj4fw5Y9W4Dgjw4luXa37inXtBsGyHhwO7TxOp4i8vCwonL4YliP+76akzpqh35rf\nViAkweMSY04MjXWuzCztee46VI1Fqw9h2i+GwCHGHreNu38+AGDBCxMSaosvEMEvH/kaYy/tj9sn\nDY66tj2dN7eLF12z3QmdM5mU12i/KyYIx/T32xaO9/XagsejeTk4jutw7U6pYPTs2RPFxVYdoLKy\nMvTo0SNqn5ycHPP19ddfj+effz6hc1dUtH3t5WBQG+EzBnTxiKir1UQii89BSAmAc4YQDkmaC0bl\nwXGAIOqdfyOXVEiSUFHRgEpfNbIdWSgr85kxDI5XwABwvHZsxMfAgYfC6YHysIQan2Wqv/jjLNx1\n3q0Y1PV0RGy1qUrrK5rct/0HVVJWDyGOu+H9/25HbUMYr/17M566dXizz6XaFliuqQmY1wyFdSuq\nPhTVjj1HarFs81H89ueDzM7vgVd/AKDFG2qqY5/P6GN9/jAqKhrQ0Cg7yiAQjKC21jrHrP9swbkD\numFAb+u3c7TassxM11lYRkVFAyKS9pyliBL3d2O/55Z+W2t+KkVOpgsOkcczH27EL0efhqsvPCnm\nvo3PtftgFQ4eqcG8lQcBAKf3ycawM7W/CZWxmNl8if7W9xdr1u2XKw/i9kmDo46zWyrl5Q1Qwslx\nXx4LtbUBVFQ4j9v18vKyktJfHC9CumtZVdWkt7utApRSl9S5556Lw4cP4+jRo4hEIli4cCFGjx4d\ntU9FhVW+YcmSJRg4cGAqmxTFWf20gPMVQ/tEfZ7j1DoizhWEUxS0CX66MDhdWmdkWg+qVXyQMYa6\ncD1yXTnarGjTwlCi/j941A+m8KaLKhRRcKAsOrW2Pqz9UHy2pV+DsERlR2E1bnluKXYVVpuf2V1S\nQTmIz/bMR0PEpzWTGXMaWk46jSo+aA96c34ArIlL6rl/bsKaHWUo2NfUnSYratxaUlYMI9ol1aQ9\nKovK1vrvqkL8dc7GqH0CsmUVMS76PEYFYaWZQEVr5mG8s2AH/vHxZmzao/12P16yF8s2H03o2K/W\nHDLFArC+j6/XHsKtf/selbq7Jl7cpzliVTMwsD/b9ophdAa2H6jCii2pL3bZHJwZw2jXZsQkpRaG\nIAh45JFHcMstt4Axhl/84hcYMGAAXn31VZx77rm44oor8OGHH2Lp0qUQRRE5OTl49tlnU9mkKAad\n0gUv/P4S5GZGj3Z6ZuZhn38XOF6By8EjIvOmMBRlaCPnxhaGwhT4JD9kpsDDe3GkrMF0WxmWhRHL\neG/hPrjPFgBBQddsF6rrw3ApQXDMiQGu83CArTNX9/NL1sjX7zqChogPWc5MfLxkLwDgw+WrAUcI\nkNxRncJXB7/DsqJVOOorwR+G3mF2ynwCQwSmMkCMACpvdtQH6gohnfEtxOL+CEeiXVqc2w+hSxlU\n9awm56ppCMfNkrJiGNp7o/RIYxSFtdjJ2Z+TKuiuD92JVhfSRLesPn7QO9EYhr0dWR4rQWLOot24\n/Pw+sQ5pFpdT+0I++16bgb1lfxVGX9A3KsgvySqcjpbTmuwDhsaps2Hbs23v9cuPpZjk8eLFT7VJ\ntj8b0rvd2mDGMIz/GcPhMh/65Hm1eGo7klLBAICf/exn+NnPfhb12fTp083X9913H+67775UNyMu\nXbKapqlOPP1qLN+5B1JJfzjO4iEKvDlBz8fpFpEhGODAmCYYxmh++x4/Nh/aAqGbkVarB70NS0MR\nwFTNwuia5UZ1fRicIIHJTuzcE4HrNGteh3FOJjnAOSSsKdmAq0+5XAsK8zL2ur+B53wguO7aqJG/\nsWTsoYYi/b0uGLYMjHjWhqKq8AxdCjXshqKeAwDYXa11aI7eBxEqvihqf9fZP4ITFBRHDgKITu39\nfN9cfW6J1pnaR/JxLQxBgpBbAaWqFwAOispa7OQCNsFo6FIAFA0BGKCoCoKKH+CA2kj8DB1FjR7R\nx3s2stx0XkpbaDwp0RBXvy3oH4ooCQmGZBOFmobo1R6jLYz2FYyOOHJujKqyFhMtUkajWmTrd5Vj\n5vyfcOXQPrhpzBnt0yadE2amd2vwONyI7DsfzJ8LABB5DpwjehKNkR2lveGhMsWsVMv02AVrlCUF\n3hb/UAWAV3WfPwNEOao2VUTVrlcf0gRDLusHMA4bywoAaB1K4zbZR+heUZuAaMRAmGlhcFh86HvM\nWPV0lLvLjk/Wrsm7QmZpEJG3OqzGabWGEMpoOtFob8Mu7Pb9BHDaeaJcUk2ypLR9nP23wTlgK4S8\nIwA0AWtRMGwuqbCnBJxX8+f7pID5B6jy4ZgrIwLRa3o3Z21INpEoScL6Jo1Fx7i0L2QXjMQypYx5\nLABQ2qiisN36SMYqiolSWh1oMgGtvQUrEaQ41u7xoHEtst1HagEA63Y2zTA93pBgxOGZ2y7GpMv6\n47STciEIPDhno1RA1TbiU3koULG7qCp6m/4/7w4AnArOFdRFhNMFQ4HLof3PcQxQHOYxRqmRyqDW\n8alBL5i/C474iiGpsjY/QrT9IYqRqFFkWLW2qUw1O2qe4zB//9eojzRgdfH6mPdeI1nxFKP4oGHp\nAEBIit2BSUwTTCvXniHMQlChgvPolpIhDkoEkZNWg8+pMMXM6PB4fd4J79XOoygsZicXDMtm525Y\nGMPyz9MeR14RGLRYjp36SHQQsSZUi/21hdFus2Y6NPszLqlsWTBueW4pNu6O/4feeIEqNY6FkQj2\nTs5+vLbNOsfxSiFmjGHGO2tw72sroz5XErTMUj0PISwp2FFYbT4P+/Xs4nu8MWuR6e+NZnUEVx4J\nRhx6ds3AuEv6g+c4OAQOnKsZwWA8GBSs31MStc2wNMT8w3CctFsbsVf1wvCztJRbjlchijAtBfsK\nfuV1flTUBrFgk7Z2BgtmQY1o5zOsBrMIIgBnv59QHCwy39sXclpyeAVUPSbCc0A3txbs31a5I+a9\n19kEw+ioa8OWOyckWokKhrABgE9uwM5DNXjqgw3aB7b28Rna8cYf5+6afVAzy+E6Y6M54jRGwcw+\nQx7QXVJNO5nfv7QCr3+h1dvx68Iw/lRtljznCAGMNRGMunC0W+qx1X/Di5vehF+2xUD0Symq0qRU\ni6SoAKdC7HkQxbVWTCTbGz/rZ86i3XG3Nb4v08I4BsGwWxGSrKLWlnUWbgcLI968oHirODYEIman\nXV4bxO/+9j1WbYsuUb+vqM7MBmsrc77Zjec/KcCan0qbtPd4WBjltUE88OYq7C2qjfrcKl4ZLWSJ\nJKykGhKMBBAEHkp1tG+eRQkGh7As4XBFbfQ22z5Cdy2LRqnqhT7dvRh0UncAgCgycE6tc2cRt+nG\nWrPzKB6cuRp8Rj2YIoCFMsxyJIYY2F1SQtcyfF8zD/uOan9MQZtgzNv/FeoytE6L5zm4BK1zO1h/\nOGo/QAtu7w/9ZL43Rlp1YWtkLuVr1XUDIQlPrPmH+Xm1VInVRwrM95zNAuIztOMNwbB3xEfFjTjS\nUGyN6owZ8oarq5kYhpGZZVgYOa5s/YLasQH9/pik3XNdIwvDiPUEFMuCUvXJbw+seBSvFcyK2l+S\nVYh99sJx8m6gj/accjKdZipvLLo1M+ehqUvKsDAsKy5Rl5TdXbZ43SHc9/oqFJZqAtkeWVLxKg/E\niv3sOVKLe15dif+sOAAAWLNd68SNcjAGz3y0sUmGXCzqfGHUNMRO0zbYul/77Rws1n4TgXB0okGq\nWbDqIKrrw5g5/6eoz824lv6TtwSj9dc4WuHD58v2J+07J8FIgByvE9LBcxAptGUBKZYYaAFs1YpV\nGBZGyAsW0YLqnD5/g6kC3E4BXpfWiQgOm2CE3QAz4h4qwCngPH6ogSyYbiwADSFdMMRGMQNexfwf\ntD84Y10OA5nXOlSO40x/v8pU7KiyRr+MMby48S1Uy5YLxReQsLNqD/bVaUFvpa4buIw6bDlUhLte\n/gE1YWt0dCS0HxsjX4PTrQm7BcRn1gK8bJbgsLuGKt3b8fGuL6yRp25lGfenKGqLo+KAHESGwwOR\n10rOc4IClVkuKTWoTfybtW0OygNNV+Lzyz4Yf6EqYwjIQURUCXtrD5hpuYDWkQi52vGcU3vGWR5H\nVPpxY5oXjNguqZYsjFjuGskmCkfKtOdbU6+10e5ikY9TDMEXjC0YscR/2wHNqv16zeGkXPve11fh\n/jdWNbuPEUMzEkKOt2Bk6ll2TZ6TEXMzBUP7P9GK23aemrMBX605hI27E199sjlIMBIgv2sGHvv1\nCPx53HXWh3pw+qW7LwWLeMA5w+Yo+srzTtb2YTxCWy+LPpkqwO0U4eK1Ea8gKmZ8hEU85nnBK4Ao\ngeMYWETrcAzrwxcOAWBaJwwgvGeotl1yIcOt/QgbWw6GEPE8h5AcAqf/+2zPfEiKBEVVsXD9XjMV\nlelVeOsCIawqXqt/xkOp1WapL9tfgHhwDv3adgsjsw6us9aYHWLjWIKTt7l09OM4dwDgFCgqMztk\nvksphPzCJtf0SwFkOrVAP8e0uJCiqKZgsGCmue+yoqYdyfd1/4F76BKAU6GqDA229hX7rJIskqxq\n7QIA2QEOgNspQpaZfm/MDPAbZGVo34nj1K1wnBztBmw82pbMVQ2tDn7TngoU7LXmuDw6ex2mv/JD\nk3uwJz3U+bRnaIjDdxssd+Xxqlbrj1P/K5aFITRKgEgWzcVBGmfpBW3ttT/LzXsrzPkxycSr/602\nFifr+7EGMEDiFgZjDDsLqxGKyKabraVabIlCgpEgp/TMQj+9pAegFSn87f+ciRyvE0q5NstX6KGN\njjJdthGlKkIN299rFoZT0Kf/Cyo4l80lZRYsVK2ihYZPX9+29WAZ+NwKCF21YoQs5IUayAQnSvC6\ntX2DSgheMQMPXHCXdgpO74Q5hpAShlzfBVJlTzRIPtSG6/HV6kOYu0brzOSyk6HWafdaFwiA5/TM\nrf2DwfzapMafiovMjlGp64bIviHmLRqussZZXHyGDypjqAnV4utCrQilGtKqAwucNafBsEw4UYLn\nwm8R5GrNUanrtAI4T9llrnpoEJACyNTXY+f0DDRZZQhKIf06lmB0cWnZb/b4i3Y9GRAjUBlQbwvy\n76zeY7tOSLMmAUCMgEErLaMyBklS4Th5FzwXLgbfpRTiSbugTXRUAV6G2L0YYs/oEbSsMESUCBwD\nCsB5a82OKmxLLFi3sxyvfmGtA19U4YM/pE0U3by3An94bSWq6kJRnZzhglIUFTUNYRSWWgJ4vGIY\ngTguqVgWRpMU1iS565uL/5hZemosC0M7rrIuiNe+2IYH3159zG2org/h9f9sQ3mj0vweV+xZDcbz\nYY0sjETXhdm6vwr/+KQgytWVLCEmwThGpk0cjMv0yT0PTbgaALS1LwBkuT3RO0vWXA+m8nA7BTh0\nwdiozrO5pBpZGKaLS/9MtzCWFhwC77UCf0xyaIFiQTLrKIXkENyiG909WoBb5YxKu/ofsSzqa3oA\nYSWMo5V+0zLQhEs7T00giCMVesC6vqs1GVGQo1xwSnUvXOwZq20zBEO3FOQqK/7DGPCZrQhgeMcI\nvb36WuiCas1X0QnxNXonZ/3oxV4HIHTT4kKSIiGiSqZggIngeAWKwkz3GwtYgmEUioyVVszxShML\nY8XR1WY6bnXIcsFxDq3NxmSqyrogxJ5aDSzXaQVw9CoE5/Fh9U+lZsaXdpNWR6ooKjaUbYHYrRTu\ns9eYHX04gUKSEUnFa19sQ70/ghVbiqMyoczzq6xJxlQy/NmL1x/B9gPNL/zVGgujsbulpa4x0Tkw\nDXHcYgDA8wycK2B20AFbuRQjHmTEkuz9bWFpfdRaNi3xr+/2YtOeCnzwTXTyQ7y4XGMLsLUxjCPl\n2mDHvjBbsgw3EoxjxO7yObVHHpyC5VLJz8mE02E9WjPrBzBdUkbgWoEEzhnSOmhVNK0IIbcSYm+t\nhARTBW3tCHswWD+nQ83U0nEVBzgOCEohHK30IygH4RHd5voeKq9nYhnrkSsOK4iuhBGKKFHBd6Md\nlfV+lNQYCxoJWhsBbU6JLhiGiDiYdi2tI2Xgs7UfrFw8AEqdJlyyKkfFBKDPPTHmsLgztG1yVU8z\n/lNcXY/NeysAm8Xi6H0QzgHbAFiikOnMwIotxZAlDuAVyKrNJSW5ENl9AQCY14o5D0VQwBhDQ0Tb\nluPMRnWoBosOfQ8AqI1YmVG8JwDnoDWQnFp5lkdmr2tyOk7P9LILPOeyRpolVQFsO2C5mzbzX6Cg\nfJs114VTwGXoqdVqdCVae1B5wY+F2HbAKBOjwtF/G/icCpTXBPHOAm2kaYxo2zoPIiwp+GTJXrz4\n6ZZmR66+QMQaVNiIlSUVq6wJn10F8DIW/FioXVeWwLm076W5GIO9w20sllHt6LYP7iErUMNrIh8M\nW22V4gh2MCzjr3M24tMYa+nEw6jj1bjN9vRi+/ca18JIUDBifSfJckOSYLSS+4ZOw+DuZ2NI3tnm\nZxzHobueqgoAORkZeHX6ZfjddYO0D6LmbAhwOQUInPUZ5wrYgujWr0LsZqXpCjxvncdmfXRvGA6A\n01JyAazacQRPfPkJwkoEHtENgRfgFJxgumWh8LovVhHNa+4trsK2I0Vw9tdcUizianQt/Yet8qb4\ncYJiWQL6viLTXW9iBJzHByGnGkpdNy1+oAuNpESQ49QzmcKZ2v2qIsJ6qrA3Wxe0iBuRQ/rzE2Ts\nKKwB74ox74FXTMEoLAri/a93aRYZr0BWmCnsTHFA1WNBxrViWxgyFJuF8asz/xcCJ2BbxU6tVlgk\nuryIkFWLqowt+sEx3B+6YHA2weAzGsx9V24rwcb9tnRovhabyreas/Yd/XbAfY42XyUsKVEj68bB\nUmPlQj6rBmLeUbjO2IgFPxaiqEJfo8V9bILhC0pRKx3a/eH7iuKnuG4J/gDPsG8BRzjKqoll4TRO\nGdUBXG0AACAASURBVC1R9sN15no4T92GuXrm1OJD38M95AfwXUpRVF/S5BwG9ooHDXql5IgiYfb2\nj7CzynIvylnac68QdkNVWVSBRimOBdMQiEB116ImmHhRQEMMGmui/bu0W2OqKRjG/CRtv+bSarcf\nrDLvO5Y4JGtOCwlGKxmQ2w+3D745yqIAgG4eSzCcghNOh2CO6KIsDKa5pK7rP8b8iBOU6DTdxqgC\nnCJvm59gCUbEGHTLxjbJHNn3d2mi5hE8UFy14Lx1OJS1WGuGKpjn++KHPVEdGot4rJnsvKKvMMgB\n4CAw2xyJRllhX63UgsOcI2LGIVRfLgDOtEIiTMKuI1r7QruG6seL5qi/78n6XIxAllXt1yitos+F\nUX1WlVoICvy6NXDoqCEO2tK4ZTU+lNbVWc9Hb0NIDmPzngrUhzXTfdzJ43CaMNw8X3lNED/sKAQA\ndPd0g4Nz4VBFDZYXFKNe1s7X3WG52VzQ3F1mMNyGZWFYLinnqdvhOtcKvBvZVgYO3mH63oXuWiE8\nMf8wnl/xEd7+cru5X60vjltEjD2qNrJyYsUwGGPYWbUHSw+vaLLtyffX4+G315hCYff1Hy5rwJqd\nxZAVFXW+6LphRdDmyAi5ZVGxhFgWRuNRcbWi/Zb4HMv6MuYNuU4rwMvbXjMXHWuMPYXYsDCe+Wou\nNpVvxZtb3zW3CbL2vQWcxXhj0cqoCgZGsLix66vSXwf3OatxOGdhzGvHwhDoxnEa+3Owx3tMC6PR\n/cQTjK37K/Hiv7fgrXnabyOWNiQrz4EEI0nYLQxXIzGxp+ACgNspINPpxbhTr7HtE7+sF1MFnHda\nd2t+Aq+YgdeI3tf07qIFcjlRMjvy+Qsi+GFrMer8WkfrPtsWuJOtWeWcIJsBdqUhFyycYbuWNlHN\neJ/tdWvioQuJ0T7thQAmi5pLqpGYGBZGfTCA0toG/Tjt56fKvFkKJcRrI3g1mNVkAp8xW1wqOg1y\neV+z7XVhv3VP9mtyKg5X1gJMqzZsuOB2HKnAa//ZhrV7tNIjny85gp8O6B06r+CNudvMLK5sZxYU\nSQAnyPh+81EE9LIpl+Zei1OyTjKvA6Dp5E6j7YIE3h2AGrTWi+dt4mK4Ag3CShgRSdFcEJJ2T0Ju\nBUqFHdhSaQW/lx9dYQbW7fEd3tYOzuU3S9JogsFQK0V3tC99ugW/+9v3eH3L/+GLfV/CF4m2vCrr\nAnCduwKf7JoHILpU+vyCDfiw5GX88V+f497XV2LpJqtqL6enR/NZtVHHxJrpbc1jYfj20DL4mR4r\nsv1d5Dpzo46xx5PsRFkYumCUBLV2uQUrAYVj1t/lT8HVUccZFkYTwQhoAwZFaJSFqBOQAiitDuDl\nz7Y0qTzcuMO3p2LbRbixBRavirNBlb6WixGzUE2LxroeBb07GD0yojOoAFvVyUZi4HZqP9QshxWI\nRTMWxjmn5GHcyH4xXVL6GkxwGX8IeufPFB4Ah/e+2hXl+zeQy0+K7pANwSg7Obo9hktK/+PPyXAB\nqhgd9LYJourPBp/hM+cqGGJiWBhLtxy2soxsM+IlFobY8wB8rBo8eM2NZVoY+ig9s0ZbA9yfY2uf\njJqAXnZEFwxr4SpN1DgmAuDQv4fW4dQFtM66rF7vcGSneQ+cIOvxnDB4JsIjujWxE2R4XCIkpnVA\nua4c3HXerdrt81qasxEEz/QPtGacCzJ4XeiU2vwm3wOXUQehizbvxUiPNmJKOV5nk98ObDXMdsmr\n4ehVCPf5S+GyDQbswuUe8gOcp23W2uVxQMg/hK/r5mBd6Sb4ghIqa4PmHAiDssbzVBwR8J4ANlZr\nMZoo102u5i6K9NkA99Al+HanlW4tqppA8hn15loqQPTI+l+7Psc3hUvMDlroWoJ5+79CNbRsMuO7\nNObG2JHi1AWzz9iuD4Qwc/1HELtrLqwcwVZpmbfNE8poiBKMQCQIX8TfpIJybSh+ActN5Vvxxx8e\nxxNz/4ut+6uwYqt2TaP/53kOBeXb8O/d88BYdLmbYEiGrKhY81NplHvqQHE99uhuP9mW1LC35gD+\ntesLKKrSRIhCakBzC9s+TkahTOA4VKs9UejltToDI2X27P5dMbBvDnqc0RubGw6a242smkynJRjN\nuaT69chFZobDCi732W8GkcMh7Ufn5LSAM++t1zp42/mYypkZXAAwKOdsbLIF2DleAThj/oXuRtM7\nJtcZG8Fk69ouhwCmCOAzfHD029Gk7XLJAAg51RC66nMXDDExr2V3ZfFR2xwn70GY5SLT6YWf8dGC\nxqngM+t0V5XDFkuR8e/lO+E8xSbM9vsSFPD6SHLMsH74oASmxcIEW0kW0Qjm6+a/IwQnMsBxnGY1\neRR4XDwa5AjAAR6HC27RBQ4c6vijcJ3lg1KjLw5Wn49Tc06x2m6Ufom4oFTnm+nQAIOYd9Rsg1qb\nBzAtxhKWFGRlOBBq7F4y53hYHQDnkMA5bEvaNrJ0hBxNELxuh/m9fLjzU8gNXyOy7zwA0Vl9ZYEK\nDMjthyUbi7CjsNoUQkCb7GkXDHsRTk6UEcksQllNAHm5HiicdhznDkRlIBmdl0/yY1WxJkKXsf+n\nP/9GI2H9O919uBZ1IT+YIkAqOg3OU3aZKdONsXf8FeEybD9guf/s7WC8BMY4qHXdIORWwu+zLKvl\ngU/x1cpaBNddA3tc0V5aRlEVCLainKuOavOVkLcfqOhhDgzNET8PzNr+IQDg2n5XRnXitb4IPl6y\nF9/bLDQAeHrOBvO1PWj+8uaZAICzup0Bvy1lPBiWsZZ9As9QCcr+oWAKoNb2SNpERLIwkkSvTEsw\njHkLToeAGTddgFN7Wu6qHrkec0SQZROMU/O7xD232+HS4iH2UiM5WkZMSP9bzuP6AbILYs9CcKIU\n1YkbqasGP+3X/fpGp+uIxO3EAd3Npb93OQXzOMOtkuG0pQ0bM9sNq8ZMCbbiL11zdNcR49Et22Va\nLwAQVANwCa6oY3i3D5zbD45X9Vnv0efjmri/LOuI4xWAieA5Dh6XA1BEy5VmCIbkjC5HwqmAIwIH\n00bITI8PFVXVotrvB1M5uByi+T0D2sREo2MNBUS49ew0TpDBGWm0iojIgcHWvBxeMcUrvPsCaAkA\nDoSVMMKSApcTUUJg3C/QNO6hfWi4xmIXRfR6RG1yKLSOn8+sg5CnB9xtAfsVR3/E90dW4p/f7sHm\nvZVR82nW7i1sNAksenTr8zE8/PYarN5eAlUfwXO8ioKqzeY+isowf//X+GjnZ+ZnZufJR1sNxiDg\nHx9vRqWvQRN3Q0SKLMuoMliF8oAW77ALRkiJFpWGUNDswFVeAhQRql9LwqhnVrzEcInxuRXgnNbz\ntE84/XL38qhzu0Xtd8tn1kHIPwSfXpGBqQyctxZlmZZwheSQaWnxORX4v6VrmoiF7SmAzy2HxJp6\nCurD9VHJD5V1ISjQ3gsDNsF1+iYA8et6tRayMJJEpiP2WtoA4BasDvW5O6zO236M8WMDADWUEeXj\ndotO8BzX1D0BmCN4t+CCw5cPKfuwlhoatM7NAtlQ6rtAyNbjA4rW0ZnFEXseMjv6Jp2u2SjtmHNP\n7YbdpdGjwAyHC8afUeM2mi4po3JvVg04XgWTNZdZbpYLDbZ5CRKLWM/COMbbAOdA3dWhOKKuY3eN\n9evRBQfqbBaP7rrjVDdEgYPLoWea6Z1uhOkjcVs8B7wCzhEGxwG8rHWuiqRtq/b74OQVPQlBvy9b\n7MCwJP535CB4jHsQ5P+/vTMPr6LK8/631rvl3pt9D1khJEAgAcIWdmQTJGkWhRe1WxRFWxRwQXrU\nntHWmcYHp/vpx8exfbrtxWec0R573ufFcXoGX0VfEW1axBZwWFQSIAkhZM9dquq8f5yqU1X3XiAo\niCT1+QdS66lTt36/81vO77AEAKLfR+tJBu9qpsrOsHZCPvbM/dEQrVnl1kujdKRDSG4znxdm3EPr\nCYJP6mT3giLFVVY2FF6SR2Lns316jS2rUmjsPonG7pMAP4+6Hy0Wxnst/w/DBLNEjnWftX0ff3EK\nsHhc32l/E5BmAVE3FFXBn/Q0ZQNjBMydJ2BPrx21pXwrxDz28T3/AABQT1SiZkQGDKupX6XfEYnI\nAE+gIIrX/u8x1FXlQOOiIKoIEnXrx/YDoHEeA9eIv4BEJYQ+ngPALP0PAH86/SamFVYj2RXEZ1+0\nQ+bNb1guPISmaAaAcmiEwD3qA1jzqvpVY+kADa5yWhur/8OF9gcWopCKPgNUEWJmE5TmQrx3oBJ1\nVTnskLZQO3r7zcFmbyix1ZVojs7XwbEwLiO3jVqDtRWr4rbHBcF1rBaGWzSPCf91KrIj49jfXsk+\n4rahj84FgYdILItBxQp8y7lMoFpiD8aIlQniGEFg3Ke2IhMen/3H55XNQGJlfoZtH2LuJeV8gQ6t\nlSkgr0sCHxNjMRWsOXrlPb0xbTfdVUYW1aIpZbhr2Sh2bcMlBU2EKPCQJUGvEkyPjyIEmXMB4G0T\nEg1hzOmCRInw7F6Gu08U4z8do8+mVRSy4CqnB71pmyVb2zneuk93BSoCzhquEd1S0HqDCB80srgM\nhUGVgtKWixJ3JbuX26uAEzSo58z3YMR2fB7pvAI+UZzLmHhpVSZfRj/F7tC/xD0zQxf41gWtzOvR\nfbGjfoAuGMbJ5sRHdg6bx0EAga4Zw+IaMCbVmQJeGHYQn4TMkf8XZ6gVEvmqki5Cxit488MT+JsX\n99K5SYrI+j6il+ePrSLASVHW7/2qPSHgz6cP4L/+3IifvXYAB0/YYz/tfZ147vVPcbYr3hrsV0K0\nbIulb901u2wWlpjRCDGtGWImtQI5bxd+9QYtxmik5Z/oakJbxKz91hEyFZoJGdBE0IHgKIzLyPis\ncZiSMyFuO88JCY6mglHk6Y/VI1mFvYhUyfzgPYbLRxMR+nQa1G5rtggVqqLAsTgGEB8TIYawAphA\nNeIVNoyPsTdo20w0ARyoHzys2T94aymUZdOG29P6mIURG7wVWLtjS4hYra04Yhan4t294EX6MYwp\nzqJ+Y0MR6rW4NJWn/SPy9HyjbDofhgS97WxCogroQlDTrS6j76Sig3pCgZBwohnn6odP8kLgBfMZ\nBMUsPBmbxaUrO7ZGivFcutDo1Vd31HoDccv9GnEKEvGYmT+CAneSns4c8qH/41n6OVTo+twSIEbg\nhh/jhRvYOQDAiQlcXEaJllilYH1mfaARbRyuX4ee09qjB2rbzNGwoZxCoEJ3Zv5UjEmnc23CSgTy\nyA/Z+ZEv9Tk4hsIQFBrEVU3XrFEdIOEETMM9Z9QzUyQ9ecFUQLTvRWaBRbWw7ZlslxMj0DQN3Rq1\n9JRmGqP6n45jaGmn76IzRli3dnfhz5+fscV8DPqVEBRVs/32OTFqm+BpxBUNSJi6SOn6NvT5jnQc\nx1fBnWwA0R1O3BeOhXENcb4qkxzHsUwpm8IAkOo2zUyfvu+Bm8ZhTd14WyE9A1HgIXNm2mZsKq/N\nOlHjLQwDluranYolefXmDo2H1y0mXLbS6zKVkUcWY6wZe1mT2O0CzyGpc7Rtn0s4v8Jgqxhqpjst\nJZd+ZC5RhiQKTFm6hlM3lhrlIQg8C9hTIURAhAibbMgEsqufCS0lIlF/uP48gr+DChNNQDDB+he8\nKwS/TGMsIi9C4kXwvk5zBr0S605T6WjW1l8iOEEDQNBJ6MhR6w3aLCoA4APt+r4AzeQCVSYun24p\nhj1A1A2tJ8DOccs8OCkMGR5oUaOWma4wdMGlfFUJF9HnlRgKw514ZUYIUXBiFEJvJpTTpbRqs369\n3sAh1nZDmRjtCGnU+gjIfrgFOsiJkAh4t+lKU9vyqJvUSEKwVihg82ki6O6L4Me/j587wgpYWtyB\nRBV0a5SwthhVEgAgrIXAwVSQysnhiJ4u0q8XxeftxxHiu6C05SB6YiQIAXojvTQOZ7lXibfc9nei\n2e4hJQRVJXHK2FYRQE5sDfZG+0BAQIjlW9Sv0xOhfcsSMAA6V0nrwtuNF67eOxAchfEtYA2OxmLU\nP/LGKIwMrxko9+gun8qiVMwdn4/a4QVx1xF5Dh7eku0SY2EE3JaYBps3kaBdFuFV4LPcR+Ph0yd+\nzR1mX6PdWgbFJQuILYUCIP6jMUqgCDwy1QpEjlWxXdaYT13WjITnWe/Rqa/V7RJkyBIPrSPTdoqq\n6BaGJACKTOMT/nZwHEE0bM+sEoJn2WS5aJhHR3fY/mECyEsNskmZPxi1xrYvYEmVLg0WgxMVljbL\n+tbmTlPs/WVZ1pfz9FDfe9TNLLTcLBe23TIWQuAcDdZG3eZgQ1DBu43yLh7WT5yg4YHVVYiQMDie\nQIIHasS0cgBTKah9SVCbS+g2MQLe3w4huQ2C6mGVio1Kxka1ZD90a1iRqFXCaeCDbbS6cVuePd4E\noF9feyQgm8ouooXNwYD+PoxFxgBAyGw076G/q7AaxpHTbQgVvQ0AiDaOgHKWWjRs5C4amXAyJE42\n+1ZXQD7Zg1HDMlkbkv0uJqi1sAuwxHi+7KJtUM9lAeAAVaJl8I0MJDEKLezBkgK9phqz0CxlhCTq\nau6N9OsWhm6hnSzV+9SqMOh5N5Wstr0rowqB2poPtbnYdq8e3RWodadAOZPH+r1d/hyvHvl3fFMc\nhfEtkJdEf8RjM0bH7TMsDLfooi4TnaJMM188yWVXJiWZMXECUMHrEUylIPEinrl7KsaU0OvwmtUl\nZZYhCR+eyASAfR/g4k2LhRAeyUm0HfWli/HszCcROlCHaONw5LoKzXMkIa4UCkAtFhvEtDACXpmu\nBWJcw+KSWla6ALnuYeZpTOjGW0cuQYZLFEAiHuYyMNpAYxg8lDN0wp9r2BEAQJeRJWkR2oK+RGxP\nN/DBwRZz3ghrn2ldTMgahxJ+PPvbGpdaVW5aaETjLMrO4l4SFHbv5CSZKYZ5tdmQ3SqIItvbxysQ\nfL0Ap0HrplaoVzLjJWYBSSPuRd/7sFwP2iI0pdZDUqBEeXYOADZXROtPQl+v/nsQo+D0kv1ZkXGI\nHKmG1pcEcATJfpkpjGx3nv5cIjghimBArwLbka6P4O3W0alOah0F5CTmumtKfSMmRsfRd6wPNIz0\nY63Pb1EYUXzRaVb/JRE3KzLJSWHw/rMQ0/T0bkWCZJTQFxQ2CVRWk1i9NQgKAl6ZlaAhETfrf06M\nsNG7UUyUKCJCagjhqAo+0AbeFQJUAZnBII2b68rKmOXv66zAoQP0fby57zhaO/qZwtB6kvX0bdou\nztcBIaUVhAATc8aA0wSmFA6dpXWsSNQFrd/IxqP7enWFYc0mg6BAwYUXkxoojsL4Fkh1p+Dv6x7D\n7aPXxu0zBIwsyCxv+4l1tSjLM2MIse4qq1Ay6Asr8ImmgJ9YnoPUgNucvGONIVhy57WuNFbKnGIq\nD06zWwrpQSqYeI6n9alCSVBOl7J2A/a0W8AapJYQ+mSGZTttgyhwtFS3Ygphq4XhcYnwy5YMNEPo\nRjzQQubzcuAgCRJy032oHp6OCaWmdURUEQLPQxYFaJ3pVGD79NURozK7QviwPf5EVBH//t4XUFqG\n2awMq8IAAAHm3wHdJQUAGZ40UxmrElyyiCdvn2S+CykCjifI8Adw45wyOjlTVyZzJmYjrIbN2JOx\ndK/SiLcaqQtGC1NhkSSbAk8TdJeUIdQs5VBO9dMRcpKWgUiEp7Emyyx6EpUBRbYIySgTRElCgM6W\nD3vAccC9KyvY+i9FQdrXdD6LgtxMe+wn1sIw4i9BVwAe68zrGBcM0QRbDEMLeaC25bPf1LmeXvzH\nXjNIThTJJuDFLEspeSLArSefcLzKhLhXS4NsJCiICqKqBjFJXx2yz2/ri96IRRgDgCIhrPUjElUh\nDTvM3lPQ6wKnSbqA1yCX6bXGoh7WFz3hPpwJtUIqOKK/Lxkk5NNTogmkAlrZluMAt0tEwO2DKNP+\n+/cj/wWoEtS2XNbHctkBCKmn0aN0mX1h6XcFA6+ueyEchfEt4ZeTErqmDJcUVRj0BWemUEG4bvRa\nLCmeb5scBMTMENcJeCX4JGvWlV3J8Kop1OIC4uGYcuw6GiFmmwmf0G8PmAvBALDXvALsEwiVeCtH\n4HlMr8qlAslou+DC/SvH4o4lleA4DgGX5XmNaxMe4QPTWbaIJEjgOA48z+He5VUYV2h1pwkQBU6P\nv3BmCitAZ3kbh/WZwt7WXk1E1OYys/cDT8y/rcqc53hz8StFgqpqyE33MSEuF1IhU5CejAW1w+Bx\ni6zv2kPnQECQ4be3CaAzigGwa/tc9P2JGY1QjOKSMZbJrz57Gaf08hj97X5EIhqdk6KnJfPufmj9\nSRg5LBmV+XROESdGzPiHYMR6aJ8E/BxdD4RwyPYnY9a4XL1iMkEwzZ75Zfw7rzYbnLsHQkYTBM2N\nTG9GwgQHI1gPjdYE41x0Do4R9F08kbphQmrETEuOuOhgQFeUvByBqCtytZNa2Sw2JqjwpOjVAfqC\nOHUmRAcEQhSn2nrpipFRN6C4zHIzYoSt+24qQgkqVOw+0MQC1NHGEeB5DjxxUYUhmgFvviPPzJQT\nFPsSBRE3tLCXPq8cYuO26CnqHvRJXmhSH4TMr6DyIag9AZCI1/atyWWf4AuiL1+rSKYVLijQuPOn\nK18KjsK4yhiL+filJDZSFwX6a6nJrMKi4nlx5/gkc2RdNzYX96+swrQxObYJdMYo2Ai4c+r54xux\nghIApo3JRllekNXI4sRInMJ49NYJmFOTh+oR6Wwbx3F214LFmkm03e+VML48A//4w5mWtrtQVZqG\nKaNpgb9kt2VGfIzbIsVFLTGZtygjAMkuUwEZLin2p8UymVJRgBEFetaZItvjFVZLyaLs3DEWn6BZ\nFYa9L41ArtaTjPJhKXHXBQCvaFhunF6sEfiwmU64Ks1Kwy/un2GLE7E26QojoK+/wid1oVdoocrC\niE/pM6e/6mpEe+QsSFTG4S/68HljB+1L0eLGCnuQnuzBD+brylGMMjcIc9vo/dCn9FOFokjweiTc\nsnAkND1773/wLr0ey2jTkwYkDby3GxwH5ChVcAkyunrtgkwLeYGoG5nJHowtobEF99h3bf2W7NXf\nn2XiY7SxHADHLEZXcjdLj40co4t7ifpvhE86B9HTD6JIaDsLLJtabCpPMQIihaD20PdoXE/K/QLH\nO7+09QH7Tej127SwG1oX/RYkuMHJYXNNmDN5UBXebm3pbZd68gDFBaL/LqXSA+AFDUTlkROh5WKM\n9VjkokO2e9sGYRZIxLRmeF8HVC5qq5D9dXEUxlVmWm4tvl+5GuWpZSjM9iMvw3fBMsaAXWE8fMtE\nVJWmQxR4uCXLaD6m2JgxpwBAvMJIkHW17vpK8DzHsrU4Vz8CMQqjOCeAtfPLael1C7bgpW0mMGdZ\n4J6ek5mi+2CtzxxTHSLda5kFH9P2FDcVUrFzXZJdZuoxUQWmhAEzPREAJpTms7LfAMeCnDzHo7LQ\ndNVZLTSPZL9Xrs+sXBuIcRdGvhoJEpUw0lVL54ggPmXZrSuMmhEZmFkyDi7ehY9a6Mxoj+iB1y3i\nb2+rxTBSYzvPUBheyW4hcqpl5r3lXXRGOi0uOIDjCHhXP3PdkKgMTSPwy0m0/Iv/HBN4xj0MIdQX\npdlkRJFoZhyA22uXQiAy+jU9vVQVMboklQn6kBKCKOuz7BUZR5o68L8/OGJruzEq9rpFdITtpdON\nZ/G4JJqRxZsTH3m9ijLpC0DrS4LqPwWS1MbaAQBpoHEtKfc4iEDb3tMfxeiSNKT5/OBFBYvqqJIy\nrG4jeQAAQoSWJmHKWBfW1HWnmNYDAJ8eT5RLP2FtiCrUqiME4LzdZu2xvjL9nvR3KfjPgfN2IuD2\n4cHV1QCA1n5zFjq9d0xsy0L0VIm+3DPdJ+UdB/GcYwkG3wRHYVxlZEHGxOxq8ByP7y8aiR//YOJF\nz0lxJ2Pl8GXYMv5u+7VkgZWdOBemPvrKIipsq4vy2XFG/MDjElGSG7C7aGIo8NOApkeSUD0iPtie\nkPNU3r11YTmCxshfz5PPTDaFtzECCql2X3a2pU6XITSeuXsq/v7OyUyhSTEKI9Vtr2wqWCwM6yz4\nJMlnsz4Ml4ZHcCPoNa+Z7DUtB3dM2u+SCebaKF6LMgcAtaUIoY/nYFp5iem600SED9WyY9J0K04U\neNx8XSUKg6Y7zbA+slK8eHjuTfh+5Wrz4npbjbXMDXjVFAzKqVJInEWBxKz+CIBNliNRF8JRFSIv\nguvIB+8KQUg5oz+XBwGfzEa0Lx9+FZwUBYnKdAY9gNqKbGQlmckNRJFQlO3HjrtnAQDeP/0R5k2l\n7qHjjf14+vd/gdKab6tHZQT9PS4RTT2nbM/F0psFDhyvlzZJp242v5EFSMzEBgiKTcCnCFkYnlwG\nTg4jTPoARURuuk/vQw8kt4KRZW57PxEeoU+m256J/V+1KAxRQW5yEE+so++1NjgbRBHB+2g8ROZd\ntMAi4aGeyQfv7oOoZ34ZvycjC83AL/tYSfqCpFzbPkPx2+ZX6Rjl/+OKnl4gXX2gOArjOwTHcXGj\n9fMxq2AaSoJFtm1uSWCZM8aodU5NPratHY/66aXmgfoo/b4VVchJ8wKqBKGtDBVCTAorgMXF12F2\nQR22zbyDZkCdh4fXVONHN9NsIbUzsWLRNIKyZOp/NjJsMlLMEdyDE36IMemVmJpbazsv22dJk9U/\nghS/C5kpXqYwYl1SAi+gIf8maCEPtO5UiJb5I2qXmYHmO4/CUImKJI+pMFycKYRjlZMk8phTMB0i\nLyLHZ0/ppXA2C+p7M0qw1KJkioL2NGlrIUt3zKhwQtY4TM6egNrsGty3YizuvGEU0j1p4L+YxALs\ngmY5R5Uw1jeV/TkqP4cJoegXMVl7UReum0DbInXnsc1EFeCWJTyxrhar6uis8rMhfSEpRbYp46DF\nFUhUEa3n+pnSA4C3mvRZ2Cy+ISP8V7N9rNSNLGBa7iRb8wxlIvI8KyjJe6k147aU5bAtiWwRxpkc\nvgAAFtxJREFU8KLAI91jWqsF6SnYciNNcy0JFiGqKdjXoseHrNcIe01LzSqg9Wu7KmgBxaxAEHkZ\n1MIszciB0mJm6vkkD1vRT23T0131+AYb+SsyIkfNWJnVcrxr7A+QKZjXY0kiSoLBGYvL2U11NdGx\nl4ijMAYRLklA9MtRiDaVob50EQBaUrksP2gTikb8QBJ55iKSzoxCTdr4uGvKgoQVw29ga4Ofj/Jh\nKSjVM7u0zgxET5aiyluHm+ePYMeoGsGkbF2p6EI74DU/wAJ/Hu6q+n6c6Wyr06WPFg0BnHoelxQA\njEorR/jATJB+P7xuy8dicc/5ZR8k0bJuQBd9zpAaZusVGGuwGyNhI25i5XtlS/DszCfhERMnEFgd\nc0umFmFpbTn7Oy9m9GhVOt6Y63Ech5srV+HWypswtiwdkyqpciFdGQgfnIwcbTRSQxVI8ZsCLyCb\nQjw3OYWlWmvdabbFqB5YMYnFc1xRM8OLKBJ8bhF+r4yZJTU2F5zEuVj2HGBXGOlJSbhuYgGrZmDF\nNlK3JB4Ygxm3LGLliGUYlzHG3GfUPhN4/GjyJtv1rKnYVrebVcBLAm+LbWX6A6yfjBU0P2r5S/w1\nwLE4H5s5DqA4RtFb331mssfWt92WQlKGK9Fg0cQy9n/N4i61Zj0mu4IYhrHmSUb/kfhBnNG3WmeG\nrSpEW/s3D3w7CmMQ4ZIFQBOhnCpLKLhMU1VflIfnMFUPLC+ZWmRzD31TlJPDUe4ej9k1+Vh/QyUC\nPhkTK7JQmVaOB8bfg++PXoX1SysvGq8xmJozEZWp5Vh3fSVumFbEtpsuqXjT3Mg6AwC/165QNo3d\niDtG3wyP6LEpU8OdUZlWztYrCPpkyIKA0P6ZSGqahYnZ1XH34jguYRbcTXOHQxJ5jCy0VyPmOR4z\n86diTsF0SDECNccikD1SYgUUiyjyIH1BjOCn4oeLpuMnG6axfUGX6U4LyH4MyzLjLJolQ84q7GVB\nBukz/67Q2y8LMlaOWMa2zxtXauu/ZIsy3bC0GqW5QXAch3UxKeW2YK3NzWO4pARIvIiiQEHcPlHg\nkO3LtGULWgcZomYpkWMZVQsCh6ClfdZvpDhQaMbXABDF7r5RWwtsbQAAn5qNGcEl7G+rRZAacGFq\neTH7Oxw2r11XUQTrEGJ4bjqeXj+ZXt+iMGLffapo/i58kg8TR9KBhW0FSgAjcvQkFMIjcthirV9g\nkbaB4lSrHURcyGUEAOHDtXopCl1hCFSQPb9lJmRJQGfv5cnVZugW8eTKbEyuNH/sxcFCFMcP0i/I\n/6pYmXA7C3rz8RaG12X+vA03zMYVVTh2shNlafkAqHKwWV+qBOHQfKy7czr6iglOn+3FzQvK8S+7\njgCKC66o74Iz92OZP7EA8yfGz8wHgFUj6hNutwpJcYCZLRuXV+EP7xzDwknDEPDJyMgwlYTVOgzI\nfvgyLLP+LQLKOodEFHmo57LAJ3XSkicWhZtvsYh8MTGboMWasQrxmswq/IvkM+s+2Xzv1oQH+n9D\n2VvbZMYwaP+nulPQHaUuKTp5sRcuWcDT62bhRx/sjrsPz3M2C8Mq4CVBQoY3jZVIJxEXinMCKM0N\n4PjpLvzo5tlY/+vfQOtJxuiSVBz+6hyWTivCud4e7NZj81ZrkOM4rJo+Gvve/QN9HsENoxwjITy8\nfBL6tG4QjYfEi5CM9FuL8pRjftMLa4vxJz1hbNPy8Th4UMNHh1sRPjgFj24owzP7fgEAaD5jqV1F\neD1BQLvwMtADxLEwBhEu+SI/CE2wuWOIvtCvrCsawz1kdWd8HQwBWT4s+SJHfnMyPelYWDgHM/On\nxu2zpqL69WcbV5aO5TNLbcfZFAYAF+eFW3QhNeDGI2vHIz8jCafO0s89mPTNA4cXQ+RFXDdsFoB4\nd9X5KMkN4MHV1XGZbACQ6gli1Yh6ZHrSURwchorCFEwbnY07llSymFehv8Am4JfPLIHSRu9dmVJp\nu55X8uDGEfVIknwoCgyz7Svw03MkXrQLe1jWvdd4WMvSrJk3nC13y3vpxDPjt2i9htXCAOyJDR7Z\nFLRBj0UhWq0XYs+ei7XCc7xm7GjNrFF4aHU11lw3An9zywRwHAe1dRhIXwCFWX688OBsFOcEkOIz\nrZzYZA2rS2ndItO11tsfZen0RsxGZoM9jrmR+hR7xV+XJGBTzQbMyp+GAn8eJlZkQuA53LGkEmmW\n2MzyGcNt5xluViNu+E1wLIxBxMUsjFnjcvH2fjPzJLZEN8dx+NnGujgBeqncNHc4GqaXXFyBXQY4\njsPS0oXn3WcQ65KyYk25BZBwzkN3H7W+aisSBbUvP8tKF2FR8bzzlsa/FFySgJlZU21Kdd0SqgQq\ni+ohSEvhkz22/hpdnIZfbVmMzvB0c20PCzPyp2J63pQ4l2JxsBBPTfsbcBwXF7BPd6fiq65GWiLe\nQpJHwuphy7Fj33PoPkWVeWYqFbb5fovCVI15SnpKttda0ZkqBlUltjZpFrcaIQRZlnO8Me0zrpfm\nTsG88YWIZerobLz/12akBszz3LKA6MlSSHnH4jKZrO3IS0nB8PwuHGnqRG9/FHmBTJzsb2QLZFnL\nAkWOjkNwxP9gYdHcuDaUJRezxJH0oAe/fGg2ezaDuqocVgZ9XFk6XMHJOID/w9xq3wRHYQwiLqYw\nblk4Emvnl6OxtQefN3YgOzU+ZnEhwXpJbfkWlMWlYLikEiHFKM7Z1Xlxx2xcUYX9R9owZVR23L4r\nAcdxl0VZANbRazwXs5is8Y9Yzhd/ssZCrFRnVmFf6ydx271uEQX+dPy07m9x5wc0iypLz57z25Yx\npuLKr7/L2QV12NW4GwVJuZB66TtU9USFm8ob8Lu3Dphr1INaGLIl1hUbjJ+ZPxUCL2B2QV3C9n9/\n0UhUD09H9XBT6QR8MpSTZfBHCzB+9riE5wF0lvniyYX42WsHMG9CATwZSfiwZR/bb/0NPnvnXEji\nfHuixkXgOA4NZdfHpc5WFKVAVZOx973ZQPT838BAcRTGIOJiCgOgftzCbD8Ks88vCAYjfu/5Pxbr\n8pX/eG9dQrfO6OI0jC5Oi9t+LTCQ38W3wdiMUZiQNQ4dZ2R8atlupJJLotnOjGTTXfS3Ux7Gm4c/\nxFu99L2kJ5vK5KfTfwwOHP5jD11kyBhoT8+bgvTp5XjtnWP44nS3vo/uTPekoa3/LOy5azQetrRk\nwXnbLwo8xpfbLUyfW8LT66cgySslVKC3j74ZRzqOISAnYWyZn8ULVS0NxYFClKdQi4rjOFw/pRA5\nad6v7facN2xm3Dae4yDKvC3V+JvgKIxBhEsWsKF+NBudOZhcyMIw1qj2uMSEyuJaxyV/N0KVPMez\ncvDaTILb/4Eu0+pOYI1a3aLpnjRMzpiKt7APxTl268WwwhItaFVRlIpHi1Jx29+/BcBUJptrNuC9\nU3sxKbsm7pyvQ1YCS92gOnMMqjPN+IVh7Qm8gAcm3GM7Nja2djkQeA6CMLBMxIFwxRXG7t278dRT\nT4EQguXLl2P9+vW2/ZFIBA8//DA+++wzpKSk4Nlnn0Vu7sACfQ7xGKl2DpQlU4vw2RftbC2PRPSF\n9bURLsEFcC0x0Mmg3yY8x+HJ2yfh4JftKMk1lcC9y8fYStwYlOUHsfnGsRienziRYiBC0fDyB10B\nXF983ddq97UGz3PQNHLxAwfIFf1CNE3DE088gZdeegmZmZlYsWIF5s6di9JSU5O+9tprCAaD+NOf\n/oQ33ngD27dvx7PPPnslm+UwhPjejBJ8b0bJBY8xXDaJYjrXMo/eOoEF67+L5Kb7WGkOA2t8IJYL\nuQQvpBR9Hgm9/dG45IahgFsW0NN/eSrVAlc4rfbAgQMoLCxEXl4eJEnC9ddfj127dtmO2bVrFxoa\nGgAACxYswJ49e65kkxwc4lg5uwzXTSjA+htGXfzga4jinACqStMvfuAgIJFLyuAnd03FxJGZmFOT\nf95jBhuP3joBs6vzUDMigxX4HJ5/iZOfEnBFLYyWlhbk5JiLwGdlZeHTTz+1HdPa2orsbJp5IggC\nAoEAOjo6kJx85XP4HRwAGrtYPW/4xQ90+M7i8+iT+hIojtL8ZGyoj1/tcjBTnBNg8Z7RxWnYfONY\nlOR8xxVGbIntgRxDCBlwuQgHBwcHAJhQnonjE7pQNybn4gcPQS5Xht8VVRjZ2dk4dcqcKNbS0oLM\nzMy4Y5qbm5GVlQVVVdHT04Ng8OKa0Fr6YKjj9IWJ0xcmQ60v7lsdXzzTYKj1xZXiisYwxowZgxMn\nTuDkyZOIRCLYuXMn5s61z16cPXs2Xn/9dQDAm2++icmTJ1/JJjk4ODg4fE04MhC/0Tdg9+7d+MlP\nfgJCCFasWIH169fj5z//OcaMGYPZs2cjEongwQcfxKFDh5CcnIwdO3YgP3/oBKccHBwcrhWuuMJw\ncHBwcBgcfPdm9Dg4ODg4fCdxFIaDg4ODw4BwFIaDg4ODw4C45hTG7t27sXDhQixYsAAvvPDC1W7O\nFWfbtm2YOnUqli5dyrZ1dnbitttuw4IFC7Bu3Tp0WxYMfvLJJzF//nwsW7YMhw4duhpNviI0Nzfj\nlltuweLFi7F06VL89re/BTA0+yISiWDlypWor6/H0qVL8Ytf0JXWmpqasGrVKixYsACbN2+Goijs\n+E2bNmH+/Pm48cYbbanugwVN09DQ0IC77roLwNDtizlz5uCGG25AfX09VqxYAeAyfyPkGkJVVTJv\n3jzS1NREIpEIueGGG8jRo0evdrOuKB999BE5ePAgWbJkCdv205/+lLzwwguEEEL+6Z/+iWzfvp0Q\nQsjbb79N7rjjDkIIIfv37ycrV6789ht8hWhtbSUHDx4khBDS09ND5s+fT44ePTok+4IQQvr6+ggh\nhCiKQlauXEn2799P7rvvPvLGG28QQgh57LHHyD//8z8TQgh5+eWXyeOPP04IIWTnzp3k/vvvvypt\nvpL8+te/Jlu2bCF33nknIYQM2b6YM2cO6ejosG27nN/INWVhDKQ21WBjwoQJCATsJZ2t9bcaGhpY\nH+zatQv19XSd6LFjx6K7uxttbW3fboOvEBkZGaioqAAA+Hw+lJaWoqWlZUj2BQB4PLQ+UCQSgaIo\n4DgOe/fuxYIFdD2HhoYG/Pd//zeAwV+vrbm5Ge+88w5WrjTXff/ggw+GZF8QQqBp9hUNL+c3ck0p\njES1qVpbW69ii64O7e3tSE+nReUyMjLQ3t4OwF6XC6D909LSclXaeCVpamrC4cOHMXbsWJw9e3ZI\n9oWmaaivr8e0adMwbdo0FBQUIBAIgNertmZnZ7PnPV+9tsHCU089hYceeoiVFDp37hyCweCQ7AuO\n47Bu3TosX74cr776KgBc1m/kmloAgDhTRi5Iov4ZbHW5ent7sXHjRmzbtg0+n++8zzfY+4Lnefzx\nj39ET08P7rnnHhw7dizuGON5Y/uCDKJ6bW+//TbS09NRUVGBvXv3AqDPF/vMQ6EvAOCVV15hSuG2\n225DcXHxZf1GrimFMZDaVEOBtLQ0tLW1IT09HWfOnEFqaioAOkJobm5mxzU3Nw+q/lEUBRs3bsSy\nZcswb948AEO3LwySkpIwceJEfPLJJ+jq6oKmaeB53va8Rl9car22a4G//OUveOutt/DOO+8gHA6j\nt7cXTz31FLq7u4dcXwDUggCA1NRUzJs3DwcOHLis38g15ZIaSG2qwUjsSGDOnDn4t3/7NwDA66+/\nzvpg7ty5+OMf/wgA2L9/PwKBADNFBwPbtm1DWVkZbr31VrZtKPZFe3s7y3QJhULYs2cPysrKMGnS\nJLz55psA7H0xZ86cQVuvbfPmzXj77bexa9cu7NixA5MmTcIzzzwzJPuiv78fvb29AIC+vj689957\nGDFixGX9Rq650iCJalMNZrZs2YK9e/eio6MD6enpuPfeezFv3jzcd999OH36NHJzc/Gzn/2MBcb/\n7u/+Du+++y48Hg+efvppjBo1OBYF2rdvH9auXYsRI0aA4zhwHIdNmzahqqoK999//5Dqi88//xxb\nt26FpmnQNA2LFy/Ghg0b0NjYiM2bN6OrqwsVFRXYvn07JEkaMvXaPvzwQ/zqV7/C888/PyT7orGx\nET/84Q/BcRxUVcXSpUuxfv16dHR0XLZv5JpTGA4ODg4OV4dryiXl4ODg4HD1cBSGg4ODg8OAcBSG\ng4ODg8OAcBSGg4ODg8OAcBSGg4ODg8OAcBSGg4ODg8OAcBSGwzXNqlWr0NDQgOuvvx6jRo1CQ0MD\nGhoasG3btku+1u233z6gctePPPII9u/f/3Wae0kcPHgQ//mf/3nF7+PgMFCceRgOg4KTJ09ixYoV\nF6w+apSKuFZ49dVXsWfPHuzYseNqN8XBAcA1VkvKweFS2LNnD7Zv345x48bh4MGDuOeee9De3o6X\nX36ZLaizdetW1NbWAgBmzpyJl156CcXFxVizZg2qq6vx8ccfo7W1FUuWLMH9998PAFizZg3uvvtu\n1NXV4cEHH0RSUhKOHTuGlpYW1NTU4OmnnwZAa/M89NBDOHfuHAoKCqCqKubMmYMbb7zR1s62tjZs\n2bIF586dAwDU1dXh9ttvx3PPPYe+vj40NDRg0qRJ2Lp1Kz7++GPs2LED/f39AICNGzdixowZOHHi\nBNasWYMlS5Zg3759iEQiePzxx1FTU/Ot9LXDEOGbLNbh4PBdoampiUyePNm27f333yeVlZXk008/\nZdusi8scPXqUzJo1i/09Y8YMcvz4cUIIIatXryZbtmwhhBDS1dVFamtrSVNTE9v37rvvEkIIeeCB\nB8jatWtJNBol4XCYLFy4kOzdu5cQQsiGDRvIL3/5S0IIIY2NjaS6upq88sorcW1/8cUXyWOPPcb+\n7urqIoQQ8q//+q9k8+bNtrbX19eTs2fPEkIIaW5uJjNmzCA9PT3kq6++IuXl5WTnzp3s2WfNmkUU\nRRl4Jzo4XATHwnAY1JSUlGD06NHs7y+//BI///nP0draCkEQ0Nraio6ODiQnJ8edu2jRIgCA3+9H\ncXExTpw4gby8vLjjrrvuOogi/ZQqKytx4sQJ1NbWYu/evXjyyScBAPn5+cySiWXcuHH4/e9/j2ee\neQYTJ05EXV1dwuP27duHpqYmrFu3jhWkFAQBjY2N8Hq98Hg8WLx4MQBgypQpEAQBX375JUpLSwfa\nXQ4OF8RRGA6DGp/PZ/t706ZNePzxxzFz5kxomoaqqiqEw+GE57pcLvZ/nuehquolHTfQdRbGjx+P\n119/He+//z7+8Ic/4MUXX8Tvfve7uOMIIRg1ahReeumluH0nTpyI26Zp2qBa68Hh6nPtRAAdHC4C\nGUD+Rk9PD6tO+sorr5xXCVwOamtrWVnpkydP4sMPP0x4XFNTE5KSkrB48WJs3boVf/3rXwHQtS6M\nMuYAUFNTg6NHj+LPf/4z23bgwAH2//7+frzxxhsA6BKlAFBYWHh5H8phSONYGA6DhoGMprdt24b1\n69cjJycHkyZNgt/vT3h+7LXOt+9Cxz366KN4+OGHsXPnTpSUlKCmpsZ2P4M9e/bgt7/9LQRBACEE\nTzzxBABg2rRp+M1vfoP6+npMnjwZW7duxXPPPYft27eju7sb0WgUBQUFeP755wEA6enpOHLkCFau\nXIlIJIIdO3ZAEISL9omDw0Bx0modHK4Q4XAYkiSB53m0tLRg5cqVePnll1FQUHDZ72VkSb333nuX\n/doODgaOheHgcIU4fvw4HnnkERBCoGkaNm3adEWUhYPDt4VjYTg4ODg4DAgn6O3g4ODgMCAcheHg\n4ODgMCAcheHg4ODgMCAcheHg4ODgMCAcheHg4ODgMCAcheHg4ODgMCD+P4xSKOOE0RxSAAAAAElF\nTkSuQmCC\n",
            "text/plain": [
              "\u003cmatplotlib.figure.Figure at 0x7f97f1e98d90\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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mjPakO1MT/AmSac1pSwy5kTc/enoRna3WjNtLCm2JLnYeyq7D6V86gW4YPPDi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\no60AAAAASUVORK5CYII=\n",
            "text/plain": [
              "\u003cmatplotlib.figure.Figure at 0x7f97f1330850\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "def plot(train, test, label):\n",
        "    plt.title('MNIST model %s' % label)\n",
        "    plt.plot(train, label='train %s' % label)\n",
        "    plt.plot(test, label='test %s' % label)\n",
        "    plt.legend()\n",
        "    plt.xlabel('Training step')\n",
        "    plt.ylabel(label.capitalize())\n",
        "    plt.show()\n",
        "  \n",
        "\n",
        "with tf.Graph().as_default():\n",
        "  hp = tf.contrib.training.HParams(\n",
        "      learning_rate=0.05,\n",
        "      max_steps=tf.constant(500),\n",
        "  )\n",
        "  train_ds = setup_mnist_data(True, hp, 50)\n",
        "  test_ds = setup_mnist_data(False, hp, 1000)\n",
        "  tf_train = autograph.to_graph(train)\n",
        "  all_losses = tf_train(train_ds, test_ds, hp)\n",
        "\n",
        "  with tf.Session() as sess:\n",
        "    sess.run(tf.global_variables_initializer())\n",
        "    (train_losses, test_losses, train_accuracies,\n",
        "     test_accuracies) = sess.run(all_losses)\n",
        "    \n",
        "    plot(train_losses, test_losses, 'loss')\n",
        "    plot(train_accuracies, test_accuracies, 'accuracy')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "HNqUFL4deCsL"
      },
      "source": [
        "# 4. Case study: building an RNN\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "YkC1k4HEQ7rw"
      },
      "source": [
        "In this exercise we build and train a model similar to the RNNColorbot model that was used in the main Eager notebook. The model is adapted for converting and training in graph mode."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "7nkPDl5CTCNb"
      },
      "source": [
        "To get started, we load the colorbot dataset. The code is identical to that used in the other exercise and its details are unimportant."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "A0uREmVXCQEw"
      },
      "outputs": [],
      "source": [
        "def parse(line):\n",
        "  \"\"\"Parses a line from the colors dataset.\n",
        "  \n",
        "  Args:\n",
        "    line: A comma-separated string containing four items:\n",
        "        color_name, red, green, and blue, representing the name and\n",
        "        respectively the RGB value of the color, as an integer\n",
        "        between 0 and 255.\n",
        "\n",
        "  Returns:\n",
        "    A tuple of three tensors (rgb, chars, length), of shapes: (batch_size, 3),\n",
        "    (batch_size, max_sequence_length, 256) and respectively (batch_size).\n",
        "  \"\"\"\n",
        "  items = tf.string_split(tf.expand_dims(line, 0), \",\").values\n",
        "  rgb = tf.string_to_number(items[1:], out_type=tf.float32) / 255.0\n",
        "  color_name = items[0]\n",
        "  chars = tf.one_hot(tf.decode_raw(color_name, tf.uint8), depth=256)\n",
        "  length = tf.cast(tf.shape(chars)[0], dtype=tf.int64)\n",
        "  return rgb, chars, length\n",
        "\n",
        "\n",
        "def maybe_download(filename, work_directory, source_url):\n",
        "  \"\"\"Downloads the data from source url.\"\"\"\n",
        "  if not tf.gfile.Exists(work_directory):\n",
        "    tf.gfile.MakeDirs(work_directory)\n",
        "  filepath = os.path.join(work_directory, filename)\n",
        "  if not tf.gfile.Exists(filepath):\n",
        "    temp_file_name, _ = six.moves.urllib.request.urlretrieve(source_url)\n",
        "    tf.gfile.Copy(temp_file_name, filepath)\n",
        "    with tf.gfile.GFile(filepath) as f:\n",
        "      size = f.size()\n",
        "    print('Successfully downloaded', filename, size, 'bytes.')\n",
        "  return filepath\n",
        "\n",
        "\n",
        "def load_dataset(data_dir, url, batch_size, training=True):\n",
        "  \"\"\"Loads the colors data at path into a tf.PaddedDataset.\"\"\"\n",
        "  path = maybe_download(os.path.basename(url), data_dir, url)\n",
        "  dataset = tf.data.TextLineDataset(path)\n",
        "  dataset = dataset.skip(1)\n",
        "  dataset = dataset.map(parse)\n",
        "  dataset = dataset.cache()\n",
        "  dataset = dataset.repeat()\n",
        "  if training:\n",
        "    dataset = dataset.shuffle(buffer_size=3000)\n",
        "  dataset = dataset.padded_batch(batch_size, padded_shapes=((None,), (None, None), ()))\n",
        "  return dataset\n",
        "\n",
        "\n",
        "train_url = \"https://raw.githubusercontent.com/random-forests/tensorflow-workshop/master/archive/extras/colorbot/data/train.csv\"\n",
        "test_url = \"https://raw.githubusercontent.com/random-forests/tensorflow-workshop/master/archive/extras/colorbot/data/test.csv\"\n",
        "data_dir = \"tmp/rnn/data\""
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "waZ89t3DTUla"
      },
      "source": [
        "Next, we set up the RNNColobot model, which is very similar to the one we used in the main exercise.\n",
        "\n",
        "Autograph doesn't fully support classes yet (but it will soon!), so we'll write the model using simple functions."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "9v8AJouiC44V"
      },
      "outputs": [],
      "source": [
        "def model_components():\n",
        "  lower_cell = tf.contrib.rnn.LSTMBlockCell(256)\n",
        "  lower_cell.build(tf.TensorShape((None, 256)))\n",
        "  upper_cell = tf.contrib.rnn.LSTMBlockCell(128)\n",
        "  upper_cell.build(tf.TensorShape((None, 256)))\n",
        "  relu_layer = tf.layers.Dense(3, activation=tf.nn.relu)\n",
        "  relu_layer.build(tf.TensorShape((None, 128)))\n",
        "  return lower_cell, upper_cell, relu_layer\n",
        "\n",
        "\n",
        "def rnn_layer(chars, cell, batch_size, training):\n",
        "  \"\"\"A simple RNN layer.\n",
        "  \n",
        "  Args:\n",
        "    chars: A Tensor of shape (max_sequence_length, batch_size, input_size)\n",
        "    cell: An object of type tf.contrib.rnn.LSTMBlockCell\n",
        "    batch_size: Int, the batch size to use\n",
        "    training: Boolean, whether the layer is used for training\n",
        "\n",
        "  Returns:\n",
        "    A Tensor of shape (max_sequence_length, batch_size, output_size).\n",
        "  \"\"\"\n",
        "  hidden_outputs = tf.TensorArray(tf.float32, size=0, dynamic_size=True)\n",
        "  state, output = cell.zero_state(batch_size, tf.float32)\n",
        "  initial_state_shape = state.shape\n",
        "  initial_output_shape = output.shape\n",
        "  n = tf.shape(chars)[0]\n",
        "  i = 0\n",
        "  while i \u003c n:\n",
        "    ch = chars[i]\n",
        "    cell_output, (state, output) = cell.call(ch, (state, output))\n",
        "    hidden_outputs.append(cell_output)\n",
        "    i += 1\n",
        "  hidden_outputs = autograph.stack(hidden_outputs)\n",
        "  if training:\n",
        "    hidden_outputs = tf.nn.dropout(hidden_outputs, 0.5)\n",
        "  return hidden_outputs\n",
        "\n",
        "\n",
        "def model(inputs, lower_cell, upper_cell, relu_layer, batch_size, training):\n",
        "  \"\"\"RNNColorbot model.\n",
        "  \n",
        "  The model consists of two RNN layers (made by lower_cell and upper_cell),\n",
        "  followed by a fully connected layer with ReLU activation.\n",
        "  \n",
        "  Args:\n",
        "    inputs: A tuple (chars, length)\n",
        "    lower_cell: An object of type tf.contrib.rnn.LSTMBlockCell\n",
        "    upper_cell: An object of type tf.contrib.rnn.LSTMBlockCell\n",
        "    relu_layer: An object of type tf.layers.Dense\n",
        "    batch_size: Int, the batch size to use\n",
        "    training: Boolean, whether the layer is used for training\n",
        "    \n",
        "  Returns:\n",
        "    A Tensor of shape (batch_size, 3) - the model predictions.\n",
        "  \"\"\"\n",
        "  (chars, length) = inputs\n",
        "  chars_time_major = tf.transpose(chars, (1, 0, 2))\n",
        "  chars_time_major.set_shape((None, batch_size, 256))\n",
        "\n",
        "  hidden_outputs = rnn_layer(chars_time_major, lower_cell, batch_size, training)\n",
        "  final_outputs = rnn_layer(hidden_outputs, upper_cell, batch_size, training)\n",
        "\n",
        "  # Grab just the end-of-sequence from each output.\n",
        "  indices = tf.stack((length - 1, range(batch_size)), axis=1)\n",
        "  sequence_ends = tf.gather_nd(final_outputs, indices)\n",
        "  sequence_ends.set_shape((batch_size, 128))\n",
        "  return relu_layer(sequence_ends)\n",
        "\n",
        "def loss_fn(labels, predictions):\n",
        "  return tf.reduce_mean((predictions - labels) ** 2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "JjK4gXFvFsf4"
      },
      "source": [
        "The train and test functions are also similar to the ones used in the Eager notebook. Since the network requires a fixed batch size, we'll train in a single shot, rather than by epoch."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "ZWQMExk0S6X6"
      },
      "outputs": [],
      "source": [
        "def train(optimizer, train_data, lower_cell, upper_cell, relu_layer, batch_size, num_steps):\n",
        "  iterator = train_data.make_one_shot_iterator()\n",
        "  step = 0\n",
        "  while step \u003c num_steps:\n",
        "    labels, chars, sequence_length = iterator.get_next()\n",
        "    predictions = model((chars, sequence_length), lower_cell, upper_cell, relu_layer, batch_size, training=True)\n",
        "    loss = loss_fn(labels, predictions)\n",
        "    optimizer.minimize(loss)\n",
        "    if step % (num_steps // 10) == 0:\n",
        "      print('Step', step, 'train loss', loss)\n",
        "    step += 1\n",
        "  return step\n",
        "\n",
        "\n",
        "def test(eval_data, lower_cell, upper_cell, relu_layer, batch_size, num_steps):\n",
        "  total_loss = 0.0\n",
        "  iterator = eval_data.make_one_shot_iterator()\n",
        "  step = 0\n",
        "  while step \u003c num_steps:\n",
        "    labels, chars, sequence_length = iterator.get_next()\n",
        "    predictions = model((chars, sequence_length), lower_cell, upper_cell, relu_layer, batch_size, training=False)\n",
        "    total_loss += loss_fn(labels, predictions)\n",
        "    step += 1\n",
        "  print('Test loss', total_loss)\n",
        "  return total_loss\n",
        "\n",
        "\n",
        "def train_model(train_data, eval_data, batch_size, lower_cell, upper_cell, relu_layer, train_steps):\n",
        "  optimizer = tf.train.AdamOptimizer(learning_rate=0.01)\n",
        "\n",
        "  train(optimizer, train_data, lower_cell, upper_cell, relu_layer, batch_size, num_steps=tf.constant(train_steps))\n",
        "  test(eval_data, lower_cell, upper_cell, relu_layer, 50, num_steps=tf.constant(2))\n",
        "\n",
        "  print('Colorbot is ready to generate colors!\\n\\n')\n",
        "  \n",
        "  # In graph mode, every op needs to be a dependent of another op.\n",
        "  # Here, we create a no_op that will drive the execution of all other code in\n",
        "  # this function. Autograph will add the necessary control dependencies.\n",
        "  return tf.no_op()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "iopcs5hXG2od"
      },
      "source": [
        "Finally, we add code to run inference on a single input, which we'll read from the input.\n",
        "\n",
        "Note the `do_not_convert` annotation that lets us disable conversion for certain functions and run them as a `py_func` instead, so you can still call them from compiled code."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          }
        },
        "colab_type": "code",
        "id": "DyU0wnnAFEYj"
      },
      "outputs": [],
      "source": [
        "@autograph.do_not_convert(run_as=autograph.RunMode.PY_FUNC)\n",
        "def draw_prediction(color_name, pred):\n",
        "  pred = pred * 255\n",
        "  pred = pred.astype(np.uint8)\n",
        "  plt.axis('off')\n",
        "  plt.imshow(pred)\n",
        "  plt.title(color_name)\n",
        "  plt.show()\n",
        "\n",
        "\n",
        "def inference(color_name, lower_cell, upper_cell, relu_layer):\n",
        "  _, chars, sequence_length = parse(color_name)\n",
        "  chars = tf.expand_dims(chars, 0)\n",
        "  sequence_length = tf.expand_dims(sequence_length, 0)\n",
        "  pred = model((chars, sequence_length), lower_cell, upper_cell, relu_layer, 1, training=False)\n",
        "  pred = tf.minimum(pred, 1.0)\n",
        "  pred = tf.expand_dims(pred, 0)\n",
        "  draw_prediction(color_name, pred)\n",
        "  # Create an op that will drive the entire function.\n",
        "  return tf.no_op()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "Nt0Kv5OCHip0"
      },
      "source": [
        "Finally, we put everything together.\n",
        "\n",
        "Note that the entire training and testing code is all compiled into a single op (`tf_train_model`) that you only execute once! We also still use a `sess.run` loop for the inference part, because that requires keyboard input."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "autoexec": {
            "startup": false,
            "wait_interval": 0
          },
          "height": 415
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 15536,
          "status": "ok",
          "timestamp": 1531750946373,
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        },
        "id": "-GmWa0GtYWdh",
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      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Test loss 0.138294\n",
            "Colorbot is ready to generate colors!\n",
            "\n",
            "\n"
          ]
        },
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              "\u003cIPython.core.display.Javascript at 0x7f97ee2abc50\u003e"
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            "text/plain": [
              "\u003cmatplotlib.figure.Figure at 0x7f97ee42bb90\u003e"
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          "metadata": {
            "tags": [
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              "outputarea_id1",
              "user_output"
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          "output_type": "display_data"
        },
        {
          "data": {
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              "window[\"a8e54767-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.setActiveOutputArea(window[\"a8e54763-8903-11e8-99f9-c8d3ffb5fbe0\"]);\n",
              "//# sourceURL=js_28bd08ac10"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9efc10\u003e"
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          "output_type": "display_data"
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          "data": {
            "application/javascript": [
              "window[\"a8e54768-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.getActiveOutputArea();\n",
              "//# sourceURL=js_ae2887f57d"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9efb50\u003e"
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          "metadata": {
            "tags": [
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              "outputarea_id1"
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            "application/javascript": [
              "window[\"a8e54769-8903-11e8-99f9-c8d3ffb5fbe0\"] = document.querySelector(\"#id1_content_0\");\n",
              "//# sourceURL=js_608805a786"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9ef710\u003e"
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            "tags": [
              "id1_content_0",
              "outputarea_id1"
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          "output_type": "display_data"
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        {
          "data": {
            "application/javascript": [
              "window[\"a8e5476a-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.setActiveOutputArea(window[\"a8e54769-8903-11e8-99f9-c8d3ffb5fbe0\"]);\n",
              "//# sourceURL=js_3d87cf7d0f"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9efa90\u003e"
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          "metadata": {
            "tags": [
              "id1_content_0",
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          "output_type": "display_data"
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        {
          "data": {
            "application/javascript": [
              "window[\"a8e5476b-8903-11e8-99f9-c8d3ffb5fbe0\"] = window[\"id1\"].setSelectedTabIndex(0);\n",
              "//# sourceURL=js_5e91101199"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9efa50\u003e"
            ]
          },
          "metadata": {
            "tags": [
              "id1_content_0",
              "outputarea_id1"
            ]
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          "output_type": "display_data"
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        {
          "data": {
            "text/html": [
              "\u003cdiv class=id_45185901 style=\"margin-right:10px; display:flex;align-items:center;\"\u003e\u003cspan style=\"margin-right: 3px;\"\u003e\u003c/span\u003e\u003c/div\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7f97ee42bd90\u003e"
            ]
          },
          "metadata": {
            "tags": [
              "id1_content_0",
              "outputarea_id1",
              "user_output"
            ]
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "application/javascript": [
              "window[\"a8e5476c-8903-11e8-99f9-c8d3ffb5fbe0\"] = jQuery(\".id_45185901 span\");\n",
              "//# sourceURL=js_f43052a94e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9ef750\u003e"
            ]
          },
          "metadata": {
            "tags": [
              "id1_content_0",
              "outputarea_id1",
              "user_output"
            ]
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "application/javascript": [
              "window[\"a8e5476d-8903-11e8-99f9-c8d3ffb5fbe0\"] = window[\"a8e5476c-8903-11e8-99f9-c8d3ffb5fbe0\"].text(\"Give me a color name (or press 'enter' to exit): \");\n",
              "//# sourceURL=js_bfc0fb76ce"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9efb10\u003e"
            ]
          },
          "metadata": {
            "tags": [
              "id1_content_0",
              "outputarea_id1",
              "user_output"
            ]
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "application/javascript": [
              "window[\"a9e9b8b0-8903-11e8-99f9-c8d3ffb5fbe0\"] = jQuery(\".id_45185901 input\");\n",
              "//# sourceURL=js_7f167283fa"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9ef610\u003e"
            ]
          },
          "metadata": {
            "tags": [
              "id1_content_0",
              "outputarea_id1",
              "user_output"
            ]
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "application/javascript": [
              "window[\"a9e9b8b1-8903-11e8-99f9-c8d3ffb5fbe0\"] = window[\"a9e9b8b0-8903-11e8-99f9-c8d3ffb5fbe0\"].remove();\n",
              "//# sourceURL=js_016ae4bf21"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9ef250\u003e"
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          },
          "metadata": {
            "tags": [
              "id1_content_0",
              "outputarea_id1",
              "user_output"
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          },
          "output_type": "display_data"
        },
        {
          "data": {
            "application/javascript": [
              "window[\"a9e9b8b2-8903-11e8-99f9-c8d3ffb5fbe0\"] = jQuery(\".id_45185901 span\");\n",
              "//# sourceURL=js_e666f179bc"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9ef550\u003e"
            ]
          },
          "metadata": {
            "tags": [
              "id1_content_0",
              "outputarea_id1",
              "user_output"
            ]
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "application/javascript": [
              "window[\"a9e9b8b3-8903-11e8-99f9-c8d3ffb5fbe0\"] = window[\"a9e9b8b2-8903-11e8-99f9-c8d3ffb5fbe0\"].text(\"Give me a color name (or press 'enter' to exit): \");\n",
              "//# sourceURL=js_cbb9d14aec"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9ef1d0\u003e"
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          },
          "metadata": {
            "tags": [
              "id1_content_0",
              "outputarea_id1",
              "user_output"
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          },
          "output_type": "display_data"
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        {
          "data": {
            "application/javascript": [
              "window[\"a9e9b8b4-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.setActiveOutputArea(window[\"a8e54768-8903-11e8-99f9-c8d3ffb5fbe0\"]);\n",
              "//# sourceURL=js_2967a79665"
            ],
            "text/plain": [
              "\u003cIPython.core.display.Javascript at 0x7f97ea9ef1d0\u003e"
            ]
          },
          "metadata": {
            "tags": [
              "id1_content_0",
              "outputarea_id1"
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          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "def run_input_loop(sess, inference_ops, color_name_placeholder):\n",
        "  \"\"\"Helper function that reads from input and calls the inference ops in a loop.\"\"\"\n",
        "\n",
        "  tb = widgets.TabBar([\"RNN Colorbot\"])\n",
        "  while True:\n",
        "    with tb.output_to(0):\n",
        "      try:\n",
        "        color_name = six.moves.input(\"Give me a color name (or press 'enter' to exit): \")\n",
        "      except (EOFError, KeyboardInterrupt):\n",
        "        break\n",
        "    if not color_name:\n",
        "      break\n",
        "    with tb.output_to(0):\n",
        "      tb.clear_tab()\n",
        "      sess.run(inference_ops, {color_name_placeholder: color_name})\n",
        "      plt.show()\n",
        "\n",
        "with tf.Graph().as_default():\n",
        "  # Read the data.\n",
        "  batch_size = 64\n",
        "  train_data = load_dataset(data_dir, train_url, batch_size)\n",
        "  eval_data = load_dataset(data_dir, test_url, 50, training=False)\n",
        "  \n",
        "  # Create the model components.\n",
        "  lower_cell, upper_cell, relu_layer = model_components()\n",
        "  # Create the helper placeholder for inference.\n",
        "  color_name_placeholder = tf.placeholder(tf.string, shape=())\n",
        "  \n",
        "  # Compile the train / test code.\n",
        "  tf_train_model = autograph.to_graph(train_model)\n",
        "  train_model_ops = tf_train_model(\n",
        "      train_data, eval_data, batch_size, lower_cell, upper_cell, relu_layer, train_steps=100)\n",
        "  \n",
        "  # Compile the inference code.\n",
        "  tf_inference = autograph.to_graph(inference)\n",
        "  inference_ops = tf_inference(color_name_placeholder, lower_cell, upper_cell, relu_layer)\n",
        "  \n",
        "  with tf.Session() as sess:\n",
        "    sess.run(tf.global_variables_initializer())\n",
        "    \n",
        "    # Run training and testing.\n",
        "    sess.run(train_model_ops)\n",
        "     \n",
        "    # Run the inference loop.\n",
        "    run_input_loop(sess, inference_ops, color_name_placeholder)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "AHJ2c47U-A5W"
      },
      "source": [
        "# Where do we go next?\n",
        "\n",
        "AutoGraph is still in its early stages, but is available in [tensorflow.contrib](https://github.com/tensorflow/tensorflow/tree/master/tensorflow/contrib/autograph). We're excited about the possibilities it brings. New versions will be available soon — stay tuned!"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "collapsed_sections": [],
      "default_view": {},
      "name": "Dev Summit 2018 - Autograph",
      "provenance": [
        {
          "file_id": "1wCZUh73zTNs1jzzYjqoxMIdaBWCdKJ2K",
          "timestamp": 1522238054357
        },
        {
          "file_id": "1_HpC-RrmIv4lNaqeoslUeWaX8zH5IXaJ",
          "timestamp": 1521743157199
        },
        {
          "file_id": "1mjO2fQ2F9hxpAzw2mnrrUkcgfb7xSGW-",
          "timestamp": 1520522344607
        }
      ],
      "version": "0.3.2",
      "views": {}
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}
